A national survey of engineering school graduates indicates that only 10% of them have had a course in statistics.
(a) Find the probability that in a random sample of five engineering grad uates exactly two have had a course in statistics.
(b) Find the probability that in a random sample of five engineering grad uates at least two have had a course in statistics.
(c) Suppose one took a random sample of size 100, where 100 is a small sample relative to the total number of engineering graduates. Write down the formula for the probability of exactly 10 of those sampled having had a course in statistics.
(d) Write down the formula for the Poisson approximation to the proba bility in part (c).
(e) Obtain a numerical value for the expression in part (d).