2. According to a study, the probability that a randomly selected teenager studied at least once during the week was only 0.52. Let X be the number of teenagers who studied at least once during the week.
a. What is the probability that exactly 5 of the students in your study group of 10 have studied in the last week? (2 points)
b. What is the probability that at least 5 of the students in your study group of 10 have studied in the last week? (2 points)
c. What is the probability that at most 4 of the students in your study group of 10 have studied in the last week? (2 points)
You may use your calculator for question #2, but clearly state which calculator functions you used and how you calculated your result. Round your answer to four decimal places.