a. Explanation Given info: It is estimated that about 1 in every 200 parts sold have defectives. Calculation: Define the random variable x as the number of parts needed to get the first defective. It is estimated that the probability to get a defective part is 0.005 ( = 1 200 ) . That is, p is 0.005. Each part is independent from other parts. Thus, the random variable x follows geometric distribution. The formula of geometric distribution is given below: P ( x ) = p q x − 1 Where, p is the probability of success in any given trial and q is the probability of failure in any given trial b. To determine To find: The probability that first defective part is the first, second or third part sold. c. To determine To find: The probability that none from the first 20 parts sold are defective.

Elementary Statistics: Picturing the World (7th Edition)

7th Edition

ISBN: 9780134683416

Author: Ron Larson, Betsy Farber

Publisher: PEARSON

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Chapter 5, Problem 13CR

To determine

To find: The probability that the first defective part is the fifth part sold.

To determine

To find: The probability that first defective part is the first, second or third part sold.

To determine

To find: The probability that none from the first 20 parts sold are defective.

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Chapter 5, Problem 12CR

Chapter 5, Problem 14CR

Chapter 5 Solutions

Elementary Statistics: Picturing the World (7th Edition)

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The probability that the first defective part is the fifth part sold.

Solution Summary: The author calculates the probability that the first defective part is the fifth part sold.

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To find: The probability that the first defective part is the fifth part sold.

To find: The probability that first defective part is the first, second or third part sold.

To find: The probability that none from the first 20 parts sold are defective.

Want to see the full answer?

Chapter 5 Solutions