# Instructions

 Date 07.02.2017 Size 38.5 Kb.
INSTRUCTIONS
1) Complete the book problems from Ch. 15

(#'s 35b, 36b, 39b, 40b, 44, 45, 46)

2) Show the completed problems to Mr. Cappetta for class points.
3) Start working on the review problems attached.
4) These are due when you walk into class on Tuesday (Monday for Per. A). We will go over any questions in class.
5) For the second half of Tuesday (all of Tuesday for Per. A), you will take a unit exam covering everything we have learned so far.

YOU ARE ALLOWED TO CREATE A ONE PAGE SHEET TO HELP YOU ON THE TEST.

- Per A will be given time on Monday to create this cheat sheet

- Per 5,8 will be given time the first half of Tuesday to create sheet

OF COURSE, YOU CAN COMPLETE IT OVER THE WEEKEND IF YOU ARE GOOD LIKE THAT
I would review vocabulary words such as disjoint, mutually exclusive and independence if I were you... (re-reading Ch. 15 might help)

Probability and Statistics – Test Review

1. On Mr. Cappetta’s last Prob/Stats test, 60% of the students earned a C or D. If Mr. Mather were to randomly pick two students from Prob/Stats, what is the chance that they both did not earn a C or a D.

1. In a class of 17 boys and 14 girls, how many different heterosexual partners are possible?

1. What is the probability that you flip 4 heads in a row?

1. Ten people are running a race. The top 3 finishers are awarded a gold, silver and bronze prize. How many different top 3 finishes are possible?

1. There are 14 young men at a party and 9 young women at a party. If two people are randomly picked to play seven minutes in heaven, what are the chances that two young men end up in heaven together.

1. In a class of 8 boys and 16 girls, students are randomly called up to show problems on the board. What is the probability the first girl called is the fourth student called up to show a problem on the board?

1. Consider the experiment of tossing two different die. What is the probability that you roll no more than a total of 6.

1. You can pick 4 students from a class 15 to make a team. How many different teams are possible?

1. Consider the experiment of tossing a fair coin and a fair die. The coin is marked “1” (heads) and “2” (tails). The faces of the die are marked from 1 to 6. Find the probability that the sum is more than 5.

A consumer group reports that 12% of Coca Cola cans contain less than the advertised amount. Assuming the customer group is correct, answer the following questions.

1. In a 6-pack of cans, what is the probability that all six cans contain less than the advertised amount?

1. What is the probability that at least one can in the six pack has less than the advertised amount?

Suppose , P(A) = 0.75, and P(B) = 0.65. Find
12) The probability that a first-time tourist to the city of Chicago will visit the Art Institute is 0.35, will visit the Museum of Science and Industry is 0.4, and will visit both is 0.15.
a. If a first-time tourist to Chicago is randomly selected, find the probability that the tourist will visit the Art Institute or the Museum of Science and Industry.
b. If a first-time tourist visits the Art Institute, what is the probability that they visit the Museum of Science and Industry.
c. Is visiting the Art Institute and visiting the Museum of Science and Industry independent events? Explain.

13) A fair coin has come up “heads” 10 times in a row. What is the probability that it will come up “heads” on the next flip?

14) A manufacturing process has a 70% yield, meaning that 70% of the products are acceptable and 30% are defective. If three of the products are randomly selected, find the probability that all of them are acceptable.

15) A study conducted at a certain college shows that 66% of the school’s graduates find a job in their chosen field within a year after graduation. Find the probability that among 4 randomly selected graduates, at least one finds a job in his or her chosen field within a year of graduating.

16) There is a huge pile of buttons in which 30% are black, 15% are blue, 16% are orange, 22% are white, and the rest are clear. You close your eyes, choose a button at random, write down what color it is and then put it back in the pile. What is the probability that the third button you choose is the first one that’s blue?

17) A family has three children. How many different ways can the family have three children?

18) At a California college, 22% of students speak Spanish, 5% speak French, and 3% speak both languages.

1. What is the probability that a student chosen at random from the college speaks Spanish but not French?

1. What is the probability that a student chosen at random speaks Spanish or French?

1. What is the probability that if a Spanish speaking student is chosen at random that they also speak French?

19) A group of volunteers for a clinical trial consists of 78 women and 71 men. 18 of the women and 22 of the men have high blood pressure. If one of the volunteers is selected at random, what is the probability that the person has high blood pressure given that it is a woman?

20) The table shows the political affiliation of voters in one city and their positions on stronger gun control laws.

 Stronger Gun Control Favor Oppose Republican 0.110 0.31 Democrat 0.22 0.18 Other 0.10 0.08

1. What is the probability that a voter who favors stronger gun control laws is a Republican?

1. Are these two events independent? Explain.

21) Applicants for a job first submit a written application. Based on the written application, 27% of applicants are invited for a first interview. Of those that have a first interview, 56% are rejected after the interview. What is the probability that a randomly selected applicant receives a first interview and is rejected after the interview?

22) A sample of 2 different calculators is randomly selected from a group containing 50 that are defective and 25 that have no defects. What is the probability that at least one has a defect?

23) A high school offers these statistics:

59% of incoming students come from single-parent homes.

41% of incoming students come from two parent homes.

23% of students from single parent homes eventually go on to get a college degree.

40% of students from two parent home eventually go on to get a college degree.

What percent of students student get a college degree?

24) At Sally’s Hair Salon there are three hair stylists. 21% of the hair cuts are done by Chris, 31% are done by Karine, and 48% are done by Amy. Chris finds that when he does hair cuts, 7% of the customers are not satisfied. Karine finds that when she does hair cuts, 8% of the customers are not satisfied. Amy finds that when she gives haircuts, 5% of the customers are not satisfied. If a customer is unhappy, what is the probability that she had her hair cut by Amy?