Given a random sample of size n = 900 from a binomial probability distribution with P = 0.50, complete parts (a) through (e) below:
a) Find the probability that the number of successes is greater than 490. P(X > 490) = (Round to four decimal places as needed).
b) Find the probability that the number of successes is fewer than 425. P(X < 425) = (Round to four decimal places as needed).
c) Find the probability that the number of successes is between 445 and 480. P(445 < X < 480) = (Round to four decimal places as needed).
d) With probability 0.30, the number of successes is fewer than how many? P(X < ) = 0.30 (Round to two decimal places as needed).
e) With probability 0.08, the number of successes is greater than how many? P(X > ) = 0.08 (Round to two decimal places as needed).