What is the probability that exactly ten arrive during the hour and all ten have no violations?

INSTRUCTIONS TO CANDIDATES

ANSWER ALL QUESTIONS

Instruction: It is intended to reinforce using Minitab to solve problems in probability and statistics. Students should submit their solutions in Minitab.

1. A student who is trying to write a paper for a course has a choice of two topics, A and B. If topic A is chosen, the student will order two books through interlibrary loan, whereas if topic B is chosen, the student will order four books. The student believes that a good paper necessitates receiving and using at least half the books ordered for either topic chosen. If the probability that a book ordered through interlibrary loan actually arrives in time is .9 and books arrive independently of one another, which topic should the student choose to maximize the probability of writing a good paper? What if the arrival probability is only .5 instead of .9?

2. Automobiles arrive at a vehicle equipment inspection station according to a Poisson process with rate of alpha = 10 hour. Suppose that with probability .5 an arriving vehicle will have no equipment violations.

a., What is the probability that exactly ten arrive during the hour and all ten have no violations?

b. What is the probability that ten “no-violation” cars arrive during the next hour?

 

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