Number your blank paper 1-10. Record your set up, work & calculations. Please turn this in at the end of your quiz.
Number your blank paper 1-10. Record your set up, work & calculations. Please turn this in at the end of your quiz.
Required
6 points
6
Question 1
1.
Tree Diagram:
A realtor sells houses in three different neighborhoods in the city-A, B and C. He sells only ranch style homes and two-story homes.
Last year, 60% of his sales were in neighborhood A, while neighborhood B made up 25% and neighborhood C was 15% of the sales.
Only 10% of the houses in neighborhood A were ranches, compared with 40% for neighborhood B and 50% for neighborhood C.
Suppose we randomly select one of the homes he sold.
(a) Use the half sheet of paper: Draw a tree diagram to represent this chance process.
Show all the probabilities, there should be 6 in the end column.
(b) Then answer: What's the probability that the home is in area A and is two-story?
Enter your answer as a decimal proportion, keep all decimal places.
Required
2 points
2
Question 2
2.
Use the tree diagram to answer:
What is the probability that any home sold by the realtor is a ranch?
Enter your answer as a decimal, keep all places.
Required
2 points
2
Question 3
3.
Use the tree diagram to answer:
Given the home is a ranch, what's the probability that it is in neighborhood C?
Hint: you will use your answer from #2 in your calculations and remember what to do if there is a 'given'.
Write your answer as a decimal, round to three places.
Required
6 points
6
Question 4
4.
In a recent poll, 13% of all respondents said that they were afraid of heights. Suppose this percentage is true for all Americans. Assume responses from different individuals are independent.
Hint: this is compound probability, check Lessons 4.5 & 4.6 to see what we did to find the probability of more than one thing happening. Similar to the 4.5&4.6 Content Check Coffee problem.
(a) What is the probability of having 3 randomly selected Americans all say that they are afraid of heights? _______ Keep your answer as a decimal, round to three places.
(b) What is the probability of having none of the 3 randomly selected Americans say that they are afraid of heights? _______ Keep your answer as a decimal, round to three places.
(c) What is the probability of having at least 1 of the 3 randomly selected Americans say that they are afraid of heights? _______ Keep your answer as a decimal, round to three places.
Required
2 points
2
Question 5
5.
Lesson 4.7
Your student email account requires you to choose a password of 4 letters followed by 1 number (use the digits 0 -9).
Repeats of letters are NOT OK. Hint: there are 26 letters in the alphabet.
Use our set up: enter the number of possibilities in each space ____ ____ ____ ____ ____
How many different five-character passwords can be created?
Just enter the number.
Required
2 points
2
Question 6
6.
At a swim meet, 8 different swimmers compete in the 800 meter freestyle race.
How many different ways are there for these swimmers to finish in 1st-3rd place?
Is this a permutation or a combination situation?
Required
2 points
2
Question 7
7.
At a swim meet, 8 different swimmers compete in the 800 meter freestyle race.
How many different ways are there for these swimmers to finish in 1st - 3rd place?
Just enter the number.
Required
2 points
2
Question 8
8.
There are 12 applicants applying for four wait person positions at Longhorn Steak House.
How many ways can these four positions can be filled by the 12 applicants?
Hint: does order matter for the four wait person positions of equal pay?
Enter your answer as a number.
Required
2 points
2
Question 9
9.
The varsity soccer team has 20 players.
Only 11 of the players can be on the field at once. For this example, the players can play any position on the field.
We want to find the number of possible groups of 11 players the coach can choose. Is this a permutation or a combination? Why?
Required
2 points
2
Question 10
10.
The varsity soccer team has 20 players.
Only 11 of the players can be on the field at once.
If the coach wanted to choose her 11 starters by randomly drawing names from a hat, how many possible groups of 11 starters could she choose?
Just enter the number.
Required
2 points
2
Question 11
11.
The varsity soccer team has 20 players.
Only 11 of the players can be on the field at once.
Three of the players can only be a goalie while the remaining 17 can play any other position.
The coach wants to make sure there is exactly one goalie on the field.
Using this information, how many ways can the coach choose a lineup of 1 goalie and 10 players?
Hint: Check the Lesson 4.8 example, there needs to be 1 goalie and 10 players out on the field.
Just enter the number.
Required
2 points
2
Question 12
12.
Using the information from the previous questions, what is the probability of sending one goalie & 10 additional players if the coach randomly chooses 11 players to start the game?
Enter your answer as a decimal, round to three places.
BONUS: Your Quiz #2 Review worksheet is 5-10 points on the quiz.
Due Today!
All work must be shown, not just answers.
I need to see your method for finding each answer.
After everyone takes the quiz I will determine the exact amount of bonus points the review is worth. It will be 5 or more points.