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(B) Additional Problem: 1. For each of the following, no work is required, just

ID: 3310540 • Letter: #

Question

(B) Additional Problem: 1. For each of the following, no work is required, just determine which distribution is needed to find the probability, or other statistic, requested. Your answer only needs to reflect the letter indicated with the distribution that describes the situation, written on your other papers (this page will not be graded.) (D) Hypergeometric Distribution (E) Multivariable Hypergeometric Distribution (F) None of the Above (A) Discrete Uniform Distribution (B) Binomial Distribution (C) Multinomial Distribution (i) A package of eight batteries is opened and the tester checks each battery to see if it is dead or not. The company boasts that a single batter has a 3% chance of being dead in the package. The tester will keep track of the number of dead batteries in a given package. They want to know the probability a package will contain no dead batteries. (ii) A person draws 5 cards, without replacement, from a normal deck of cards and counts the number of hearts. They want to know what the probability of having a hand without any hearts. (iii) A single die is rolled once. What is the probability the roll is at least a 3? (iv) A shipment of 8 television sets contains 2 defective sets. A hotel makes a random purchase of 4 of the Sets, and want to know the average number of defective sets in their selection. (v) A bus arrives every 10 minutes at a bus stop. It is assumed that the waiting time for a particular bus is uniform. How long should a person expect to wait for a bus?

Explanation / Answer

1) binomial distribution

3) none of the above

4) hyper geometric distribution

5) uniform distribution