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A new battery’s voltage may be acceptable (A) or

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 17E Chapter 3

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 17E

A new battery’s voltage may be acceptable (A) or unacceptable (U). A certain flashlight requires two batteries, so batteries will be independently selected and tested until two acceptable ones have been found. Suppose that 90% of all batteries have acceptable voltages. Let Y denote the number of batteries that must be tested. a. ?What is p(2), that isP ( Y = 2), ? b. ?What is p(3)? [Hint: There are two different outcomes that result inY = 3 .] c. ?To have Y=5, what must be true of the fifth battery selected? List the four outcomes for which Y= 5 and then determine p(5). d. ?Use the pattern in your answers for parts (a)–(c) to obtain a general formula for p(y).

Step-by-Step Solution:

Solution : Step 1 : Here a certain flashlight requires two batteries, so batteries will be independently selected and tested until two acceptable ones have been found. A battery’s voltage may be acceptable (A), or rejected. It is also given that 90% of all batteries are acceptable . and Y denote the number of batteries that must be tested. We have to find different probabilities P(2),P(5),P(3), and also want make a general formula for P(y).

Step 2 of 4

Chapter 3, Problem 17E is Solved
Step 3 of 4

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

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A new battery’s voltage may be acceptable (A) or