In a recent poll, the Gallup Organization found that $45 \%$ of adult Americans believe that the overall state of moral values in the United States is poor.
(a) Compute the mean and standard deviation of the random variable $X$, the number of adults who believe that the overall state of moral values in the United States is poor based on a random sample of 500 adult Americans.
(b) Interpret the mean.
(c) Would it be unusual to identify 240 adult Americans who believe that the overall state of moral values in the United States is poor based on a random sample of 500 adult Americans? Why?
Discrete Probability Distributions
The Binomial Probability Distribution