Final Exam Review Probability Worksheet With Answers (Page 2 of 10) in pdf

Final Exam Review Probability Worksheet With Answers Page 2

7) A game has three outcomes. The probability of a win is 0.4, the probability of tie is 0.5, and the probability of a

loss is 0.1. What is the probability of not winning in a single play of the game.

Answer: 0.6

8) A human gene carries a certain disease from the mother to the child with a probability rate of 47%. That is, there

is a 47% chance that the child becomes infected with the disease. Suppose a female carrier of the gene has four

children. Assume that the infections of the four children are independent of one another. Find the probability

that all four of the children get the disease from their mother.

Answer: 0.049

9) A human gene carries a certain disease from the mother to the child with a probability rate of 39%. That is, there

is a 39% chance that the child becomes infected with the disease. Suppose a female carrier of the gene has five

children. Assume that the infections of the five children are independent of one another. Find the probability

that at least one of the children get the disease from their mother.

Answer: 0.916

10) In how many ways can a committee of three men and four women be formed from a group of 10 men and 10

women?

Answer: 25200

11) How many distinct arrangements can be formed from all the letters of "statistics"?

Answer: 50,400

12) Given the sets of digits {1, 3, 4, 6, 8}, how many different numbers between 40,000 and 80,000 can be written

using these digits if repetition of digits is allowed?

Answer: 1250

13) Amy, Jean, Keith, Tom, Susan, and Dave have all been invited to a birthday party. They arrive randomly and

each person arrives at a different time. In how many ways can they arrive? In how many ways can Jean arrive

first and Keith last? Find the probability that Jean will arrive first and Keith will arrive last.

Answer: 720; 24;

14) From 8 names on a ballot, a committee of 3 will be elected to attend a political national convention. How many

different committees are possible?

Answer: 56

15) The random variable x represents the number of credit cards that adults have along with the corresponding

probabilities. Find the mean and standard deviation for the random variable x.

x P(x)

0 0.49

1 0.05

2 0.32

3 0.07

4 0.07

Answer: mean: 1.18; standard deviation: 1.30

Final Exam Review Probability Worksheet With Answers Page 2