Question

1. Shipments of television set that arrive at a factory have varying levels of quality. In order to decide whether to accept a particular shipment, inspectors randomly select a sample of 15 television sets and test them; if no more than one television set in the sample is defective, the shipment is accepted. Suppose a very large shipment arrives in which 5% of the television sets are defective. X may be treated as a binomial random variable. a. What is the expected value for binomial distribution? b. What is the variance value for binomial distribution? c. What is the standard deviation value for binomial distribution? d. What is the probability value of 3 for binomial distribution?

Answer 1

X ~ bin (n,p)

where, n= 15

p = probability of getting defective TV sets = 5% = 0.05

q = (1-p) = (1-0.05) = 0.95

the pmf of the distribution is :-

a). the expected value for binomial distribution is :-

b).the variance value for binomial distribution is:-

c).the standard deviation value for binomial distribution is:-

d).the probability value of 3 for binomial distribution is:-

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