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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).

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