Chapter 4.1-4.4 Partner Test

Instructions

Enter all answers as decimals or percents, please do not use fractions.

You have a connection to an infinite supply of Skittles.  
The company that manufactures these delicious sugary treats claims that:
 25% are purple, 
25% are yellow, 
15% are red, 
15% are green, 
the remaining are orange.

Required

4

Find the probability that you pick one orange skittle.
P(orange)=
HINT: What do all the probabilities need to add up to in a sample space? Use this to find your answer.

4

What is the complement of picking an orange Skittle?
Select the best answer choice:

Required

4

Find the probability that you will pick a red or a green skittle.
P(red or green)=

Required

4

What needs to be true about choosing a Skittle in order to do the calculations for #3?

Required

4

Find the probability that you will not pick a pink skittle.
P(pink)=

Required

4

A company is testing their batteries in digital cameras to see if they last long enough to take 500 pictures. Each day they test 20 batteries and graph the overall percentage of the batteries that have failed the test so far.

Ignore the letter 'A' on the graph. That was for a different question.

Estimate the probability that one of the company’s batteries will fail before taking 500 pictures with a digital camera. __________
Explain your reasoning.

Required

4

What Statistical law is being illustrated in the previous question?

Required

4

The coach of the football team needs to choose a kicker for a critical field goal in the championship game. These are his choices and strategies.
Choose Donnie because he missed his last five shots over the last several games. He’s due to make this field goal.
Choose Ronnie because he has made his last three kicks earlier in the game so he’s “on a roll” tonight.
Choose Lonnie because he has the highest overall season percentage of making field goals.
Based on your understanding of probability, which is the best strategy _____ and why?
Answer both questions for full credit.
Who should he choose and why.

Use the following information for problems #9-13.
How is the hatching of water python eggs influenced by the temperature of the snake's nest?
Researchers randomly assigned newly laid eggs to one of three water temperatures: hot, neutral, or cold.
Hot duplicates the extra warmth provided by the mother python, and cold duplicates the absence of the mother.
The results are shown in the two-way table below.

Required

4

Suppose we select one of the eggs at random.
Define event C as cold water, event H= hot water, event N= neutral water, and events hatched or not hatched.
If we randomly select an egg, find P(hatched):
Hint: (you will use the totals/marginal distribution)

Required

4

Suppose we select one of the eggs at random.
Define event C as cold water, event H= hot water, event N= neutral water, and events hatched or not hatched.
If we randomly select an egg, find the probability that the egg hatched given that it was in cold temperature: P(hatched|Cold)=
Hint: (double check the total you will use)

Required

4

Suppose we select one of the eggs at random.
Define event C as cold water, event H= hot water, event N= neutral water, and events hatched or not hatched.

If we randomly select an egg, find the probability that the egg hatched given that it was in neutral temperature: P(hatched|Neutral)=
Hint: (double check the total you will use)

Required

4

Suppose we select one of the eggs at random.
Define event C as cold water, event H= hot water, event N= neutral water, and events hatched or not hatched.
If we randomly select an egg, find the probability that the egg hatched given that it was in hot temperature: P(hatched|Hot)=
Hint: (double check the total you will use)

Required

3

Suppose we select one of the eggs at random.
Define event C as cold water, event H= hot water, event N= neutral water, and events hatched or not hatched.
Compare the probabilities in #10-12, are nest temperature and hatched status independent?
Check all that apply, choose three answers.

Required

8

A recent census at a major university revealed that:
60% of its students used Macintosh computers (Macs) in total.
80% of the students used PCs in total.
In the census, 43% used both types of computers.

Using the information, fill in the Venn Diagram AND the 2-Way Table in the 'show your work' area using a textbox.
This information will be helpful for the following questions, so when you are finished please ask me to check it.

Required

4

Are using a Mac and/or a PC mutually exclusive?
How do you know?
Check all that apply, choose two answers.

Required

6

A recent census at a major university revealed that a total of 60% of its students mainly used Macintosh computers (Macs) and a total of 80% used PCs.
In the census, 43% used both types of computers.
Refer to #14 for the 2-way table.

What percent of the students used a Mac OR a PC at the campus?
P(Mac or PC)=
Enter your answer as a percent or a decimal.

Required

6

A recent census at a major university revealed that a total of 60% of its students mainly used Macintosh computers (Macs) and a total of 80% used PCs.
In the census, 43% used both types of computers.
Refer to #14 for the 2-way table & Venn Diagram.

What percent of the students used a Mac but not a PC at the campus?
P(Mac & not PC)=
Enter your answer as a percent or a decimal.

Required

4

A recent census at a major university revealed that a total of 60% of its students mainly used Macintosh computers (Macs) and a total of 80% used PCs.
In the census, 43% used both types of computers.
Refer to #14 for the 2-way table.

What percent of the students did not use a Mac or a PC?
Enter your answer as a percent or a decimal.

Chapter 4.1-4.4 Partner Test

Find the probability that you pick one orange skittle.P(orange)=HINT: What do all the probabilities need to add up to in a sample space? Use this to find your answer.

What is the complement of picking an orange Skittle?Select the best answer choice:

Find the probability that you will pick a red or a green skittle.P(red or green)=

What needs to be true about choosing a Skittle in order to do the calculations for #3?

Find the probability that you will not pick a pink skittle.P(pink)=

What Statistical law is being illustrated in the previous question?

Suppose we select one of the eggs at random. Define event C as cold water, event H= hot water, event N= neutral water, and events hatched or not hatched. If we randomly select an egg, find P(hatched): Hint: (you will use the totals/marginal distribution)

Suppose we select one of the eggs at random. Define event C as cold water, event H= hot water, event N= neutral water, and events hatched or not hatched. Compare the probabilities in #10-12, are nest temperature and hatched status independent?Check all that apply, choose three answers.

Are using a Mac and/or a PC mutually exclusive?How do you know?Check all that apply, choose two answers.

Find the probability that you pick one orange skittle.P(orange)=HINT: What do all the probabilities need to add up to in a sample space? Use this to find your answer.

What is the complement of picking an orange Skittle?Select the best answer choice:

Find the probability that you will pick a red or a green skittle.P(red or green)=

What needs to be true about choosing a Skittle in order to do the calculations for #3?

Find the probability that you will not pick a pink skittle.P(pink)=

What Statistical law is being illustrated in the previous question?

Suppose we select one of the eggs at random. Define event C as cold water, event H= hot water, event N= neutral water, and events hatched or not hatched. If we randomly select an egg, find P(hatched): Hint: (you will use the totals/marginal distribution)

Suppose we select one of the eggs at random. Define event C as cold water, event H= hot water, event N= neutral water, and events hatched or not hatched. Compare the probabilities in #10-12, are nest temperature and hatched status independent?Check all that apply, choose three answers.

Are using a Mac and/or a PC mutually exclusive?How do you know?Check all that apply, choose two answers.

Find the probability that you pick one orange skittle.
P(orange)=
HINT: What do all the probabilities need to add up to in a sample space? Use this to find your answer.

What is the complement of picking an orange Skittle?
Select the best answer choice:

Find the probability that you will pick a red or a green skittle.
P(red or green)=

Find the probability that you will not pick a pink skittle.
P(pink)=

Suppose we select one of the eggs at random.
Define event C as cold water, event H= hot water, event N= neutral water, and events hatched or not hatched.
If we randomly select an egg, find P(hatched):
Hint: (you will use the totals/marginal distribution)

Suppose we select one of the eggs at random.
Define event C as cold water, event H= hot water, event N= neutral water, and events hatched or not hatched.
Compare the probabilities in #10-12, are nest temperature and hatched status independent?
Check all that apply, choose three answers.

Are using a Mac and/or a PC mutually exclusive?
How do you know?
Check all that apply, choose two answers.

Find the probability that you pick one orange skittle.
P(orange)=
HINT: What do all the probabilities need to add up to in a sample space? Use this to find your answer.

What is the complement of picking an orange Skittle?
Select the best answer choice:

Find the probability that you will pick a red or a green skittle.
P(red or green)=

Find the probability that you will not pick a pink skittle.
P(pink)=

Suppose we select one of the eggs at random.
Define event C as cold water, event H= hot water, event N= neutral water, and events hatched or not hatched.
If we randomly select an egg, find P(hatched):
Hint: (you will use the totals/marginal distribution)

Suppose we select one of the eggs at random.
Define event C as cold water, event H= hot water, event N= neutral water, and events hatched or not hatched.
Compare the probabilities in #10-12, are nest temperature and hatched status independent?
Check all that apply, choose three answers.

Are using a Mac and/or a PC mutually exclusive?
How do you know?
Check all that apply, choose two answers.