A lot of size N = 25 contains 5 nonconforming units. The testing procedure: if a sample of 6 contains 1 or less nonconforming units, the lot is accepted. (a) What is the probability of lot acceptance? (b) Calculate the desired probability in (a) using binomial approximation? Is this approximation satisfactory? Why or why not? (c) Suppose the lot size was N = 300. Recalculate the probability (a) with binomial approximation? Is this approximation satisfactory? Why or why not? The weight of bearings produced by a machine is being studied. A random sample of six bearings provided the weights: 1.22, 1.45, 1.11, 1.31, 1.41, 1.20. Calculate the sample averagae, the sample standard deviation, and the sample median. (Please show your detailed calculating procedure)

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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A lot of size N = 25 contains 5 nonconforming units. The testing procedure: if a sample of
6 contains 1 or less nonconforming units, the lot is accepted.
(a) What is the probability of lot acceptance?
(b) Calculate the desired probability in (a) using binomial approximation? Is this
approximation satisfactory? Why or why not?
(c) Suppose the lot size was N = 300. Recalculate the probability (a) with binomial
approximation? Is this approximation satisfactory? Why or why not?
Transcribed Image Text:A lot of size N = 25 contains 5 nonconforming units. The testing procedure: if a sample of 6 contains 1 or less nonconforming units, the lot is accepted. (a) What is the probability of lot acceptance? (b) Calculate the desired probability in (a) using binomial approximation? Is this approximation satisfactory? Why or why not? (c) Suppose the lot size was N = 300. Recalculate the probability (a) with binomial approximation? Is this approximation satisfactory? Why or why not?
The weight of bearings produced by a machine is being studied. A random sample of six
bearings provided the weights: 1.22, 1.45, 1.11, 1.31, 1.41, 1.20. Calculate the sample
averagae, the sample standard deviation, and the sample median. (Please show your detailed
calculating procedure)
Transcribed Image Text:The weight of bearings produced by a machine is being studied. A random sample of six bearings provided the weights: 1.22, 1.45, 1.11, 1.31, 1.41, 1.20. Calculate the sample averagae, the sample standard deviation, and the sample median. (Please show your detailed calculating procedure)
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