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Probability and Statistics for Engineers and the Scientists | 9th Edition | ISBN: 9780321629111 | Authors: Ronald E. Walpole; Raymond H. Myers; Sharon L. Myers; Keying E. Ye
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In Exercise 59, consider the following additional

Chapter 3, Problem 69E

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QUESTION:

In Exercise 59, consider the following additional information on credit card usage: 70% of all regular fill-up customers use a credit card. 50% of all regular non-fill-up customers use a credit card. 60% of all plus fill-up customers use a credit card. 50% of all plus non-fill-up customers use a credit card. 50% of all premium fill-up customers use a credit card. 40% of all premium non-fill-up customers use a credit card. Compute the probability of each of the following events for the next customer to arrive (a tree diagram might help). a.? ?{plus and fill-up and credit card} b.? ?{premium and non-fill-up and credit card} c.?? premium and credit card} d.?? fill-up and credit card} e.? ?{credit card} f. ?If the next customer uses a credit card, what is the probability that premium was requested?

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QUESTION:

In Exercise 59, consider the following additional information on credit card usage: 70% of all regular fill-up customers use a credit card. 50% of all regular non-fill-up customers use a credit card. 60% of all plus fill-up customers use a credit card. 50% of all plus non-fill-up customers use a credit card. 50% of all premium fill-up customers use a credit card. 40% of all premium non-fill-up customers use a credit card. Compute the probability of each of the following events for the next customer to arrive (a tree diagram might help). a.? ?{plus and fill-up and credit card} b.? ?{premium and non-fill-up and credit card} c.?? premium and credit card} d.?? fill-up and credit card} e.? ?{credit card} f. ?If the next customer uses a credit card, what is the probability that premium was requested?

ANSWER:

Problem 69E Answer: Step1: We have In Exercise 59, consider the following additional information on credit card usage: 70% of all regular fill-up customers use a credit card. 50% of all regular non-fill-up customers use a credit card. 60% of all plus fill-up customers use a credit card. 50% of all plus non-fill-up customers use a credit card. 50% of all premium fill-up customers use a credit card. 40% of all premium non-fill-up customers use a credit card. Our goal is to Compute

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