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. Suppose a survey of a random sample of 25 adult Americans is conducted in which they are asked to disclose their feelings on the overall state of moral values in the United States.
(a) Find and interpret the probability that exactly 15 of those surveyed feel the state of morals is poor.
(b) Find and interpret the probability that no more than 10 of those surveyed feel the state of morals is poor.
(c) Find and interpret the probability that more than 16 of those surveyed feel the state of morals is poor.
(d) Find and interpret the probability that 13 or 14 believe the state of morals is poor.
(e) Would it be unusual to find 20 or more adult Americans who believe the overall state of moral values is poor in the United States? Why?