Given a random sample size of n = 9 0 0 from a binomial probability distribution with P = 0.30 do the following:
a. Find the probability that the number of successes is greater than 305.
b. Find the probability that the number of successes is fewer than 245.
c. Find the probability that the number of successes is between 260 and 297.
d. With probability 0.40, the number of successes is fewer than how many?
e. With probability 0.06, the number of successes is greater than how many?