For each scenario described, state whether or not the binomial distribution is a reasonable
model for the random variable and why. State any assumptions you make.
(a) Let X denote the number of express mail packages received by the post office in a 24-hour
period.
(b) A production process produces thousands of temperature transducers. Let X denote the
number of nonconforming transducers in a sample of size 30 selected at random from
the process.
(c) From a batch of 50 temperature transducers, a sample of size 30 is selected without
replacement. Let X denote the number of nonconforming transducers in the sample.
(d) Forty randomly selected semiconductor chips are tested. Let X denote the number of
chips in which the test finds at least one contamination particle