1. Studies show that 27% of all students at Richardson Technical College smoke. Suppose we are interested in the proportion of the 85 students in the lunchroom cafeteria that smoke.

(a) Is the normal approximation to the proportion = r / n valid? Explain.

(b) What is the probability that the proportion of those in the cafeteria who smoke is at least one fourth?

(c) What is the probability that the proportion of those in the cafeteria who smoke is no more than 30%?