The probability that an adult was never in a museum is 17%. Suppose 15 adults are randomly selected and asked if they have ever been to a museum. The number of adults who have never been in a
museum is recorded.
a. Explain why this is a binomial experiment. (Hint: What are the criteria for a binomial probability
experiment?) (4 points)
b. Determine the probability that exactly two were never in a museum by hand? (3 points)
c. Determine the probability that fewer than two were never in a museum by hand? (4 points)
d. Determine the probability that at least two were never in a museum by hand? (3 points)
e. Find and interpret the mean (expected value) of adults who have never been in a museum. (2
points)