For this question, use a Binomial Probability Distribution. Assume all conditions are met.
According to data from the U.S. Social Survey, the probability that an adult was never in a museum is 15%. You may safely assume that one randomly selected adult having never been in a museum does not change the chances of another adult having never been in a museum.
(a) If 10 adults are randomly surveyed, what is the probability that 6 of them have never been in a museum? Type your answer as a proportion (not a percentage) rounded to the third decimal place. ____________
(b) If 10 adults are randomly surveyed, what is the probability that 2 or fewer of them have never been in a museum? Type your answer as a proportion (not a percentage) rounded to the third decimal place. ____________
(c) What is the expected value (mean) of the number of adults who have never been in a museum out of the 10 adults surveyed? Type your answer as a value rounded to the first decimal place. _______________
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