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 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)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
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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