A lot of 75 washers contains 3 defectives whose variability in thickness is unacceptably large. A sample of 10 washers is selected at random without replacement. a.) Calculate the mean of (x). b.) Calculate the variance of (x). c.) Find the probability that at least one unacceptable washer is in the sample. d.) Calculate the standard deviation of (x). e.) Determine the probability mass function of the number of defective washers (x) in the sample.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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A lot of 75 washers contains 3 defectives whose variability in thickness is unacceptably large. A sample of 10 washers is selected at random without replacement.

a.) Calculate the mean of (x).

b.) Calculate the variance of (x). 

c.) Find the probability that at least one unacceptable washer is in the sample. 

d.) Calculate the standard deviation of (x). 

e.) Determine the probability mass function of the number of defective washers (x) in the sample.

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