Lesson 4.4 Content Check

Required

1

Consider the following table with information about some of the students taking Statistics at Davenport High School.

Given that the student is a male what is the probability that the student works full time?
Give your answer as a decimal proportion, round to three places.
P(Full Time|MALE) =

Required

1

Consider the following table with information about all of the students taking Statistics at Davenport High School.

What is the probability that the student is a female, given that the student is FULL-TIME?
Give your answer as a decimal proportion, keep all decimal places.
P(Female|Full Time) =

Required

1

Consider the following table with information about all of the students taking Statistics at Davenport High School.

What is the probability that the student is full- time, given that the student is part-time?
Give your answer as a decimal proportion, keep all decimal places.
P(Full-time|Part -time) =

Required

1

What is the probability that a randomly-selected person will prefer history, given that the person is an 8th grader?
Give your answer as a decimal proportion, round to three decimal places.

Required

1

What is the probability that a randomly-selected person will be a 7th grader, given that the person prefers English?
Give your answer as a decimal proportion, round to three decimal places.

Required

10

Use the following hypothetical 1000 two-way table to compare watching an online ad and planning a vacation to New York:

Record the probabilities as a decimal proportion, round to three places past the decimal point if necessary.
P(Plan to Vacation to NY | Watched Ad):   _______ 

P(Plan to Vacation to NY | Did Not Watch Add):  _______ 

P(Plan to Vacation to NY):  _______

Required

1

Are watching the ad online and planning a vacation to New York City independent?
Select the answer and the reason why below:

Required

1

Determine the following conditional probabilities.
Consider drawing 1 card from a standard deck of shuffled cards:

Given it is a face card, what is the probability of picking a RED card?
P(RED |FACE CARD) =
Give your answer as a decimal proportion, keep all decimal places.

Required

1

Determine the following conditional probabilities.
Consider drawing 1 card from a standard deck of shuffled cards:

Given it is a red card, what is the probability of picking a FACE card?
P(FACE |RED CARD) =
Give your answer as a decimal proportion, round to three decimal places.

Required

1

Determine the following conditional probabilities.
Consider drawing 1 card from a standard deck of shuffled cards:

Hint: Spades are the upside down black hearts, there are 13 of each suit.
P(ODD|SPADE) =
For finding the # of odd cards: Use only cards with numbers on them (A, K, Q, J do not have numbers on them).
Give your answer as a decimal proportion, round to three decimal places.

Required

1

Jenna made the following two-way table about the color and size of the marbles in a bag.

What is the probability that one of Jenna’s marbles is red, given that it is small?
Give your answer as a decimal proportion, round to three decimal places.

Required

2

Jenna made the following two-way table about the color and size of the marbles in a bag.
Give your answer as a decimal proportion, round to three decimal places if necessary.
What is the probability that one of Jenna’s marbles is Blue, given that it is small? _______ 
What is the probability that one of Jenna's marbles is Blue, given that it is large? _______ 

Required

3

Use the information from above to answer: Are marble color and size independent?
Select the answer and the reason why below:

Required

1

Use the table to answer the question.

Given the person is picking Chocolate, what is the probability the person is a teen?

Required

1

Use the table to answer the question.

Given the person is picking Vanilla, what is the probability the person is a teen?

Required

1

Use the table to answer the question.

Given the person is not picking either Chocolate or Vanilla, what is the probability the person is a teen?

Required

1

Based on your answers to #14, 15 & 16, are being a teen and ice cream flavor preference independent?
Explain why or why not and the relationship if there is one.

Required

3

In our school there are 1,208 students. 47% of the students are involved in Fine Arts, 62% are on a sports team and 21% do both.
Fill in the Venn Diagram to answer the question below. This is part of your points.
Hint: you will NOT enter 47 or 62 into the Venn diagram but you will use them to calculate the numbers.
If you are still confused, try setting up the two-way table in #19 first, then fill in the Venn Diagram.

What is the probability a student is in the arts but not sports?
Answer as a percent.

Required

3

In our school there are 1,208 students. 47% of the students are involved in Fine Arts, 62% are on a sports team and 21% do both.
Use the 'show your work' section to set up the table using the numbers from the Venn Diagram. This is part of your points.

What is the probability a student plays sports given that he/she is in Arts?
Round your answer to three places past the decimal.

Required

1

Using the table from #19...
What is the probability a student is in the arts given that he/she is in sports?
Round your answer to three places past the decimal.

Required

1

What is the probability of a student being in fine arts OR sports?
Answer as a percent.
Hint: look back at the Venn Diagram.

Required

1

Lesson 4.4 Content Check

Consider the following table with information about some of the students taking Statistics at Davenport High School.

Given that the student is a male what is the probability that the student works full time?
Give your answer as a decimal proportion, round to three places.
P(Full Time|MALE) =

Consider the following table with information about all of the students taking Statistics at Davenport High School.

What is the probability that the student is a female, given that the student is FULL-TIME?
Give your answer as a decimal proportion, keep all decimal places.
P(Female|Full Time) =

What is the probability that a randomly-selected person will prefer history, given that the person is an 8th grader?
Give your answer as a decimal proportion, round to three decimal places.

What is the probability that a randomly-selected person will be a 7th grader, given that the person prefers English?
Give your answer as a decimal proportion, round to three decimal places.

Are watching the ad online and planning a vacation to New York City independent?
Select the answer and the reason why below:

Determine the following conditional probabilities.
Consider drawing 1 card from a standard deck of shuffled cards:

Given it is a face card, what is the probability of picking a RED card?
P(RED |FACE CARD) =
Give your answer as a decimal proportion, keep all decimal places.

Determine the following conditional probabilities.
Consider drawing 1 card from a standard deck of shuffled cards:

Given it is a red card, what is the probability of picking a FACE card?
P(FACE |RED CARD) =
Give your answer as a decimal proportion, round to three decimal places.

Jenna made the following two-way table about the color and size of the marbles in a bag.

What is the probability that one of Jenna’s marbles is red, given that it is small?
Give your answer as a decimal proportion, round to three decimal places.

Use the information from above to answer: Are marble color and size independent?
Select the answer and the reason why below:

Use the table to answer the question.

Given the person is picking Chocolate, what is the probability the person is a teen?

Use the table to answer the question.

Given the person is picking Vanilla, what is the probability the person is a teen?

Use the table to answer the question.

Given the person is not picking either Chocolate or Vanilla, what is the probability the person is a teen?

Based on your answers to #14, 15 & 16, are being a teen and ice cream flavor preference independent?
Explain why or why not and the relationship if there is one.

Using the table from #19...
What is the probability a student is in the arts given that he/she is in sports?
Round your answer to three places past the decimal.

What is the probability of a student being in fine arts OR sports?
Answer as a percent.
Hint: look back at the Venn Diagram.

What is the probability of a student NOT being in sports or fine arts?
Hint: check your Venn Diagram

Consider the following table with information about some of the students taking Statistics at Davenport High School.

Given that the student is a male what is the probability that the student works full time?
Give your answer as a decimal proportion, round to three places.
P(Full Time|MALE) =

Consider the following table with information about all of the students taking Statistics at Davenport High School.

What is the probability that the student is a female, given that the student is FULL-TIME?
Give your answer as a decimal proportion, keep all decimal places.
P(Female|Full Time) =

What is the probability that a randomly-selected person will prefer history, given that the person is an 8th grader?
Give your answer as a decimal proportion, round to three decimal places.

What is the probability that a randomly-selected person will be a 7th grader, given that the person prefers English?
Give your answer as a decimal proportion, round to three decimal places.

Are watching the ad online and planning a vacation to New York City independent?
Select the answer and the reason why below:

Determine the following conditional probabilities.
Consider drawing 1 card from a standard deck of shuffled cards:

Given it is a face card, what is the probability of picking a RED card?
P(RED |FACE CARD) =
Give your answer as a decimal proportion, keep all decimal places.

Determine the following conditional probabilities.
Consider drawing 1 card from a standard deck of shuffled cards:

Given it is a red card, what is the probability of picking a FACE card?
P(FACE |RED CARD) =
Give your answer as a decimal proportion, round to three decimal places.

Jenna made the following two-way table about the color and size of the marbles in a bag.

What is the probability that one of Jenna’s marbles is red, given that it is small?
Give your answer as a decimal proportion, round to three decimal places.

Use the information from above to answer: Are marble color and size independent?
Select the answer and the reason why below:

Use the table to answer the question.

Given the person is picking Chocolate, what is the probability the person is a teen?

Use the table to answer the question.

Given the person is picking Vanilla, what is the probability the person is a teen?

Use the table to answer the question.

Given the person is not picking either Chocolate or Vanilla, what is the probability the person is a teen?

Based on your answers to #14, 15 & 16, are being a teen and ice cream flavor preference independent?
Explain why or why not and the relationship if there is one.

Using the table from #19...
What is the probability a student is in the arts given that he/she is in sports?
Round your answer to three places past the decimal.

What is the probability of a student being in fine arts OR sports?
Answer as a percent.
Hint: look back at the Venn Diagram.

What is the probability of a student NOT being in sports or fine arts?
Hint: check your Venn Diagram

Lesson 4.4 Content Check

Lesson 4.4 Content Check

Consider the following table with information about some of the students taking Statistics at Davenport High School.Given that the student is a male what is the probability that the student works full time? Give your answer as a decimal proportion, round to three places.P(Full Time|MALE) =

Consider the following table with information about all of the students taking Statistics at Davenport High School.What is the probability that the student is a female, given that the student is FULL-TIME? Give your answer as a decimal proportion, keep all decimal places.P(Female|Full Time) =

Consider the following table with information about all of the students taking Statistics at Davenport High School.What is the probability that the student is full- time, given that the student is part-time?Give your answer as a decimal proportion, keep all decimal places.P(Full-time|Part -time) =

What is the probability that a randomly-selected person will prefer history, given that the person is an 8th grader?Give your answer as a decimal proportion, round to three decimal places.

What is the probability that a randomly-selected person will be a 7th grader, given that the person prefers English?Give your answer as a decimal proportion, round to three decimal places.

Are watching the ad online and planning a vacation to New York City independent?Select the answer and the reason why below:

Determine the following conditional probabilities.Consider drawing 1 card from a standard deck of shuffled cards:Given it is a face card, what is the probability of picking a RED card? P(RED |FACE CARD) =Give your answer as a decimal proportion, keep all decimal places.

Determine the following conditional probabilities.Consider drawing 1 card from a standard deck of shuffled cards:Given it is a red card, what is the probability of picking a FACE card? P(FACE |RED CARD) =Give your answer as a decimal proportion, round to three decimal places.

Jenna made the following two-way table about the color and size of the marbles in a bag.What is the probability that one of Jenna’s marbles is red, given that it is small?Give your answer as a decimal proportion, round to three decimal places.

Use the information from above to answer: Are marble color and size independent?Select the answer and the reason why below:

Use the table to answer the question. Given the person is picking Chocolate, what is the probability the person is a teen?

Use the table to answer the question. Given the person is picking Vanilla, what is the probability the person is a teen?

Use the table to answer the question. Given the person is not picking either Chocolate or Vanilla, what is the probability the person is a teen?

Based on your answers to #14, 15 & 16, are being a teen and ice cream flavor preference independent?Explain why or why not and the relationship if there is one.

Using the table from #19...What is the probability a student is in the arts given that he/she is in sports?Round your answer to three places past the decimal.

What is the probability of a student being in fine arts OR sports?Answer as a percent.Hint: look back at the Venn Diagram.

What is the probability of a student NOT being in sports or fine arts?Hint: check your Venn Diagram

Consider the following table with information about some of the students taking Statistics at Davenport High School.Given that the student is a male what is the probability that the student works full time? Give your answer as a decimal proportion, round to three places.P(Full Time|MALE) =

Consider the following table with information about all of the students taking Statistics at Davenport High School.What is the probability that the student is a female, given that the student is FULL-TIME? Give your answer as a decimal proportion, keep all decimal places.P(Female|Full Time) =

Consider the following table with information about all of the students taking Statistics at Davenport High School.What is the probability that the student is full- time, given that the student is part-time?Give your answer as a decimal proportion, keep all decimal places.P(Full-time|Part -time) =

What is the probability that a randomly-selected person will prefer history, given that the person is an 8th grader?Give your answer as a decimal proportion, round to three decimal places.

What is the probability that a randomly-selected person will be a 7th grader, given that the person prefers English?Give your answer as a decimal proportion, round to three decimal places.

Are watching the ad online and planning a vacation to New York City independent?Select the answer and the reason why below:

Determine the following conditional probabilities.Consider drawing 1 card from a standard deck of shuffled cards:Given it is a face card, what is the probability of picking a RED card? P(RED |FACE CARD) =Give your answer as a decimal proportion, keep all decimal places.

Determine the following conditional probabilities.Consider drawing 1 card from a standard deck of shuffled cards:Given it is a red card, what is the probability of picking a FACE card? P(FACE |RED CARD) =Give your answer as a decimal proportion, round to three decimal places.

Jenna made the following two-way table about the color and size of the marbles in a bag.What is the probability that one of Jenna’s marbles is red, given that it is small?Give your answer as a decimal proportion, round to three decimal places.

Use the information from above to answer: Are marble color and size independent?Select the answer and the reason why below:

Use the table to answer the question. Given the person is picking Chocolate, what is the probability the person is a teen?

Use the table to answer the question. Given the person is picking Vanilla, what is the probability the person is a teen?

Use the table to answer the question. Given the person is not picking either Chocolate or Vanilla, what is the probability the person is a teen?

Based on your answers to #14, 15 & 16, are being a teen and ice cream flavor preference independent?Explain why or why not and the relationship if there is one.

Using the table from #19...What is the probability a student is in the arts given that he/she is in sports?Round your answer to three places past the decimal.

What is the probability of a student being in fine arts OR sports?Answer as a percent.Hint: look back at the Venn Diagram.

What is the probability of a student NOT being in sports or fine arts?Hint: check your Venn Diagram

Consider the following table with information about some of the students taking Statistics at Davenport High School.

Given that the student is a male what is the probability that the student works full time?
Give your answer as a decimal proportion, round to three places.
P(Full Time|MALE) =

Consider the following table with information about all of the students taking Statistics at Davenport High School.

What is the probability that the student is a female, given that the student is FULL-TIME?
Give your answer as a decimal proportion, keep all decimal places.
P(Female|Full Time) =

What is the probability that a randomly-selected person will prefer history, given that the person is an 8th grader?
Give your answer as a decimal proportion, round to three decimal places.

What is the probability that a randomly-selected person will be a 7th grader, given that the person prefers English?
Give your answer as a decimal proportion, round to three decimal places.

Are watching the ad online and planning a vacation to New York City independent?
Select the answer and the reason why below:

Determine the following conditional probabilities.
Consider drawing 1 card from a standard deck of shuffled cards:

Given it is a face card, what is the probability of picking a RED card?
P(RED |FACE CARD) =
Give your answer as a decimal proportion, keep all decimal places.

Determine the following conditional probabilities.
Consider drawing 1 card from a standard deck of shuffled cards:

Given it is a red card, what is the probability of picking a FACE card?
P(FACE |RED CARD) =
Give your answer as a decimal proportion, round to three decimal places.

Jenna made the following two-way table about the color and size of the marbles in a bag.

What is the probability that one of Jenna’s marbles is red, given that it is small?
Give your answer as a decimal proportion, round to three decimal places.

Use the information from above to answer: Are marble color and size independent?
Select the answer and the reason why below:

Use the table to answer the question.

Given the person is picking Chocolate, what is the probability the person is a teen?

Use the table to answer the question.

Given the person is picking Vanilla, what is the probability the person is a teen?

Use the table to answer the question.

Given the person is not picking either Chocolate or Vanilla, what is the probability the person is a teen?

Based on your answers to #14, 15 & 16, are being a teen and ice cream flavor preference independent?
Explain why or why not and the relationship if there is one.

Using the table from #19...
What is the probability a student is in the arts given that he/she is in sports?
Round your answer to three places past the decimal.

What is the probability of a student being in fine arts OR sports?
Answer as a percent.
Hint: look back at the Venn Diagram.

What is the probability of a student NOT being in sports or fine arts?
Hint: check your Venn Diagram

Consider the following table with information about some of the students taking Statistics at Davenport High School.

Given that the student is a male what is the probability that the student works full time?
Give your answer as a decimal proportion, round to three places.
P(Full Time|MALE) =

Consider the following table with information about all of the students taking Statistics at Davenport High School.

What is the probability that the student is a female, given that the student is FULL-TIME?
Give your answer as a decimal proportion, keep all decimal places.
P(Female|Full Time) =

What is the probability that a randomly-selected person will prefer history, given that the person is an 8th grader?
Give your answer as a decimal proportion, round to three decimal places.

What is the probability that a randomly-selected person will be a 7th grader, given that the person prefers English?
Give your answer as a decimal proportion, round to three decimal places.

Are watching the ad online and planning a vacation to New York City independent?
Select the answer and the reason why below:

Determine the following conditional probabilities.
Consider drawing 1 card from a standard deck of shuffled cards:

Given it is a face card, what is the probability of picking a RED card?
P(RED |FACE CARD) =
Give your answer as a decimal proportion, keep all decimal places.

Determine the following conditional probabilities.
Consider drawing 1 card from a standard deck of shuffled cards:

Given it is a red card, what is the probability of picking a FACE card?
P(FACE |RED CARD) =
Give your answer as a decimal proportion, round to three decimal places.

Jenna made the following two-way table about the color and size of the marbles in a bag.

What is the probability that one of Jenna’s marbles is red, given that it is small?
Give your answer as a decimal proportion, round to three decimal places.

Use the information from above to answer: Are marble color and size independent?
Select the answer and the reason why below:

Use the table to answer the question.

Given the person is picking Chocolate, what is the probability the person is a teen?

Use the table to answer the question.

Given the person is picking Vanilla, what is the probability the person is a teen?

Use the table to answer the question.

Given the person is not picking either Chocolate or Vanilla, what is the probability the person is a teen?

Based on your answers to #14, 15 & 16, are being a teen and ice cream flavor preference independent?
Explain why or why not and the relationship if there is one.

Using the table from #19...
What is the probability a student is in the arts given that he/she is in sports?
Round your answer to three places past the decimal.

What is the probability of a student being in fine arts OR sports?
Answer as a percent.
Hint: look back at the Venn Diagram.

What is the probability of a student NOT being in sports or fine arts?
Hint: check your Venn Diagram