Given a random sample size of n = 4,900 from a binomial probability distribution with P = 0.50 do the following:
a. Find the probability that the number of successes is greater than 2,545.
b. Find the probability that the number of successes is fewer than 2,385.
c. Find the probability that the number of successes is between 2,430 and 2,485.

d. With probability 0.30, the number of successes is fewer than how many?
e. With probability 0.07, the number of successes is greater than how many?