A. The probability that a new drug will have an adverse effect on a member of a given population is 0.05. A random sample of 1000 people is selected from the population for a clinical trial for the new drug.

Using the Normal Approximation to the Binomial distribution, it is of interest to find the probability that no greater than 80 out if the 1000 have an adverse reaction to the drug.

Let X be the random variable representing this Normal Approximation. That is, X is N(50, 47.5).

1. We restate the desired probability as P(X < a). What is the value of a? (You do not need to solve for the probability)

B. Let Z be Normal (0, 1).

Find P(Z > 2.12)