Question: In order to see what happens when the normal approximation is improperly used, consider the binomial distribution with n = 15 and p = 0.05.

In order to see what happens when the normal approximation is improperly used, consider the binomial distribution with n = 15 and p = 0.05. Since np = 0.75, the rule of thumb (np > 5 and nq > 5) is not satisfied. Using the binomial tables, find the probability of one or fewer successes and compare this with the normal approximation.

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