Exercise 5.4 A lot of 75 washers contains 5 defectives whose variability in thickness is unacceptably large. A sample of 10 washers is selected at random without replacement. 1. Determine the probability mass function of the number of defective washers (X) in the sample. 2. Find the probability that at least one unacceptable washer is in the sample. 3. Calculate the mean and variance of X.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A lot of 75 washers contains 5 defectives whose variability in thickness is unacceptably large. A sample of 10 washers is selected at random without replacement.

a. Determine the probability mass function of the number of defective washers (X) in the sample. b. Find the probability that at least one unacceptable washer is in the sample.

c. Calculate the mean and variance of X

Exercise 5.4 A lot of 75 washers contains 5 defectives whose variability in thickness is
unacceptably large. A sample of 10 washers is selected at random without
replacement.
1. Determine the probability mass function of the number of defective
washers (X) in the sample.
2. Find the probability that at least one unacceptable washer is in the
sample.
3. Calculate the mean and variance of X.
Transcribed Image Text:Exercise 5.4 A lot of 75 washers contains 5 defectives whose variability in thickness is unacceptably large. A sample of 10 washers is selected at random without replacement. 1. Determine the probability mass function of the number of defective washers (X) in the sample. 2. Find the probability that at least one unacceptable washer is in the sample. 3. Calculate the mean and variance of X.
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