In studies for a medication, 15 percent of patients gained weight as a side effect. Suppose 733 patients are randomly selected. Use the normal approximation to the binomial to approximate the probability that

(a) exactly 106 patients will gain weight as a side effect.

(b) 106 or fewer patients will gain weight as a side effect.

(c) 117 or more patients will gain weight as a side effect.

(d) between 106 and 112, inclusive, will gain weight as a side effect.