In: Statistics and Probability
4. At the recent homecoming football game, 60% of those attending or female. Furthermore, 30% of those attending were alumni. Additionally 1/4 of the female attendees were alumni.
a. If 11 people were randomly chosen, what is the probability that no more than three were alumni?
b. If 15 people were chosen, what is the probability that at least two were female?
c. If eight people were chosen at random what is the probability that exactly 6 would be male alumni?