# 1) A sales presentative for a tire manufacturer claims that her steel-belted radials will last least 40,000 miles. A tire dealer decides to check this claim by testing 20 randomly chosen tires.

1) A sales presentative for a tire manufacturer claims that her steel-belted radials will last least 40,000 miles. A tire dealer decides to check this claim by testing 20 randomly chosen tires. If 75% or more of the 20 tires tested last at least 40,000 miles, the dealer will purchase tires from the sales representative. a. In extensive tests, the tire manufacturer establishes that 90% of the manufactured

tires last at least 40,000 miles. Is this a binomial situation? Explain.

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b. Under the condition of part a (above), what is the probability that the tire dealer will

purchase tires from the sales representative?

2) A company that bakes chocolate chip cookies averages 5 chocolate chips per cookie.

Assume that the number of chocolate chip per cookie follows the Poisson distribution. a. What is the probability that a randomly selected cookie will contain 6 chocolate

chips? b. What is the probability that a randomly selected cookie will contain at most 6

chocolate chips? c. What is the likelihood that a randomly selected cookie will contain at least 5

chocolate chips? d. What is the probability that a randomly selected cookie will contain between 5 and 7

chocolate chips? 3) A 30 years old male in good health wishes to purchase a $150,000 life insurance policy

payable at the time of his death. He needs the protection until he is 35 years old. The probability of dying on a given year between the ages 30 and 34 is given in the following table.

Age 30 31 32 33 34 Probability 0.0001 0.0001 0.0002 0.0002 0.0002

If the person pays a one-time $500 premium for the policy, what is the expected profit or loss to the insurance firm if the person dies before age 35? 4) In a five-number summary, which of the following is NOT used for data summarization? a. the smallest number b. the largest number c. the median d. the mean

5) The symbol σ^{2 }is used to represent the

a. Population variance b. population standard deviation c. sample variance

6) The probability of at least one head in two flips of a coin is

a. 33% chance b. 50% chance c. 75% chance d. 90% chance

7. The sample space refers to

a. The sample size b. the set off all possible experimental outcomes

c. experimental outcomes are correct d. I don’t know.

8. Peter wants to find the probability of 7 customers arrivals in an hour at a bookstore, he

needs to use generally the a. The binomial probability distribution b. Poisson probability distribution

9. Variance is

a. a measure of the average, or central value of a random variable b. a measure of the dispersion of a random variable c. the square root of the standard deviation

10. A measure of the average value of a random variable is called a(n)

a. Variance b. standard deviation c. the expected value d. the mode

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