Sports and Leisure In 2012-2013, Carnival Cruise Lines experienced onboard problems with four ships: Triumph, Elation, Dream, and Legend. The technical issues included loss of power, steering problems, and even a fire in an engine room. Despite these setbacks, the cruise industry contributes almost $38 billion to the U.S. economy, and approximately 20% of all people in the United States have taken a cruise.46 Suppose 25 people from the United States are selected at random.
a. Find the probability that exactly three people have been on a cruise.
b. Find the probability that at most two people have been on a cruise.
c. Suppose seven people have taken a cruise. Is there any evidence to suggest that the percentage of people who have taken a cruise has increased? Justify your answer.