In a recent nationwide study, it was reported that U.S. adults continue to believe that big companies and lobbyists have too much power. In particular, 85% of those polled indicated that PACs (Political Action Committees) have too much influence in Washington. Suppose 50 U.S. adults are selected at random.
a. What is the probability that at least 45 U.S. adults think PACs have too much power?
b. What is the probability that between 38 and 42 (inclusive) U.S. adults think PACs have too much power?
c. Suppose 35 U.S. adults think PACs have too much power. Is there any evidence to suggest the poll results are wrong? Justify your answer.
The CBS show NCIS stars Mark Harmon as Special Agent Leroy Jethro Gibbs in which his team investigates military-related criminal cases. The character Abigail Sciuto is frequently seen drinking the high-energy caffeine-laden drink Caf-Pow (she keeps a spare in the lab refrigerator). The mean number of Caf-Pows Abby consumes per show is 3. Suppose a 2013 NCIS episode is selected at random.
a. What is the probability that Abby has no Caf-Pows on the show?
b. What is the probability that she is shown having at most 3 Caf-Pows on the show?
c. Suppose Abby has 6 Caf-Pows. Is there any evidence that the number of Caf-Pows per show has changed? Justify your answer?