In: Statistics and Probability
It is known that 40% of American Idol winners become famous. A sample of 50 American Idol winners are randomly selected.
(a) [1] What is the probability that exactly 25 of them become famous?
(b) [1] Find the probability that at least 20 of them become famous.
(c) [2] What is the probability that between 17 and 27 (including both 17 and 27) of them become famous.
(d) [2] Find the expected number of American Idol winners become famous in this sample and its standard deviation.