Suppose that among 10,000 students at a certain college 100 are redhaired.
(i) What is the probability that a sample of 100 students, selected with replacement, will contain at least one red-haired student?
(ii) How large is a. random sample, drawn with replacement, if the probability of its containing a red-haired student is 0.95? It would be more realistic to assume that the sample is drawn without replacement. Would the answers to (i) and (ii) change if this assumption were made?