Shipments of TV sets that arrive at a factory have a varying levels of quality. In...

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Shipments of TV sets that arrive at a factory have a varying levelsof quality. In order to decide whether to accept a particularshipment, inspectors randomly select a sample of 15 TVs and testthem; if no more than one TV in the sample is defective, theshipment is accepted. Let X be a random variable representing thenumber of defective staples in the random sample 15.

a. Explain why X may be treated as a binomial randomvariable:

â€¢Identify n (the number of trails):
â€¢Specify in words which event would be defined as aâ€œsuccessâ€
â€¢Explain why the trails may be considered independent:
â€¢Give the value of p (probability of a success)
b. What is the probability that shipment is accepted? ( Use atable or the formula)
c. What is the expected value of the number of defective TVset in the sample?
d. Fill this sentence: According to the Law of Large Numbers,if we have obtained many different simple random samples of size_from this shipment, the average number of defective TV sets persample would be approximately _.

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a X may be treated as binomial random variable because theparameter for a variable to be binomial is the number of trials nand the probability of See Answer

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