Side effects are often encountered by patients receiving a placebo in a clinical trial.

Suppose 10 individuals were randomly and independently selected for the placebo group in a clinical trial. From past studies, it is known that the percentage of individuals experiencing significant side effects after receiving the placebo is about 10%.

Using the binomial probability model, determine

(a) the probability that two of the 10 patients in the placebo group experience significant side effects.

(b) the probability that none of the 10 patients in the placebo group experience significant side effects.

(c) the expected number of the 10 patients in the placebo group that will experience significant side effects.

(d) the standard deviation of the number of the 10 patients in the placebo group that will experience significant side effects.