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In Exercise 59, consider the following additional

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 ISBN: 9780321629111 32

Solution for problem 69E Chapter 2

Probability and Statistics for Engineers and the Scientists | 9th Edition

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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

Probability and Statistics for Engineers and the Scientists | 9th Edition

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Problem 69E

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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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 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 Step2: From the given given we can draw the tree diagram and it is given below a). P(plus and fill-up and credit card) = 0.35×0.6×0.6 = 0.126 b). P(premium and non-fill-up and credit card) = 0.25×0.5×0.4 = 0.05 c). P(premium and credit card) = (0.25×0.5×0.5)+(0.25×0.5×0.4) = 0.1125 d). P(fill-up and credit ca = (0.4×0.3×0.7)+(0.35×0.6×0.6)+(0.25×0.5×0.5) = 0.2725 Step3: e). P(credit card) = P(fill and credit card) + P(not fill and credit card) = 0.2725 + {(0.4×0.7×0.5) + (0.35×0.4×0.5) + (0.25×0.5×0.4)} = 0.2725 + 0.26 = 0.5325. f). (0.25×0.5×0.5)+(0.25×0.5×0.4) P(premium given card) = 0.5325 = 0.2110.

Step 2 of 3

Chapter 2, Problem 69E is Solved
Step 3 of 3

Textbook: Probability and Statistics for Engineers and the Scientists
Edition: 9
Author: Ronald E. Walpole; Raymond H. Myers; Sharon L. Myers; Keying E. Ye
ISBN: 9780321629111

Probability and Statistics for Engineers and the Scientists was written by and is associated to the ISBN: 9780321629111. This textbook survival guide was created for the textbook: Probability and Statistics for Engineers and the Scientists, edition: 9. The answer to “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?” is broken down into a number of easy to follow steps, and 136 words. This full solution covers the following key subjects: Card, Credit, fill, customers, use. This expansive textbook survival guide covers 18 chapters, and 1582 solutions. Since the solution to 69E from 2 chapter was answered, more than 509 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 69E from chapter: 2 was answered by , our top Statistics solution expert on 05/06/17, 06:21PM.

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In Exercise 59, consider the following additional