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# A company that produces fine crystal knows from experience ISBN: 9780321629111 32

## Solution for problem 49E Chapter 3

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

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Problem 49E

A company that produces fine crystal knows from experience that 10% of its goblets have cosmetic flaws and must be classified as “seconds.” a.? ?Among six randomly selected goblets, how likely is it that only one is a second? b. ?Among six randomly selected goblets, what is the probability that at least two are seconds? c. ?If goblets are examined one by one, what is the probability that at most five must be selected to find four that are not seconds?

Step-by-Step Solution:

Answer: Step 1 of 3 a. Among six randomly selected goblets, how likely is it that only one is a second p = 10% p = 0.1 and n = 6 1 6 1 P(X = 1) = 6C 10.1) (1 0.1) = 6 × 0.1 × 0.5904 = 0.3542 Therefore, the probability one of 6 has a flaw is 0.3542. Step 2 of 3 b. Among six randomly selected goblets, we need to find the probability that at least two are seconds p = 10% p = 0.1 and n = 6 P(X 2) = P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) Using Excel function, “=BINOMDIST(x,n,p,false)” x P(x) 2 0.098415 3 0.01458 4 0.001215 5 0.000054 6 0.000001 Sum 0.114265 Therefore, P(X 2) = 0.1143

Step 3 of 3

##### ISBN: 9780321629111

The answer to “A company that produces fine crystal knows from experience that 10% of its goblets have cosmetic flaws and must be classified as “seconds.” a.? ?Among six randomly selected goblets, how likely is it that only one is a second? b. ?Among six randomly selected goblets, what is the probability that at least two are seconds? c. ?If goblets are examined one by one, what is the probability that at most five must be selected to find four that are not seconds?” is broken down into a number of easy to follow steps, and 81 words. This full solution covers the following key subjects: goblets, seconds, selected, Randomly, must. This expansive textbook survival guide covers 18 chapters, and 1582 solutions. This textbook survival guide was created for the textbook: Probability and Statistics for Engineers and the Scientists, edition: 9. The full step-by-step solution to problem: 49E from chapter: 3 was answered by , our top Statistics solution expert on 05/06/17, 06:21PM. Probability and Statistics for Engineers and the Scientists was written by and is associated to the ISBN: 9780321629111. Since the solution to 49E from 3 chapter was answered, more than 1255 students have viewed the full step-by-step answer.

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