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:
•Identify n (the number of trails):
•Specify in words which event would be defined as a“success”
•Explain why the trails may be considered independent:
•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 ___.
