In: Statistics and Probability
Given a random sample of size of n = 4,900 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 2,535.
P(X>2535) =
b. Find the probability that the number of successes is fewer than 2,410.
P(X<2410) =
c. Find the probability that the number of successes is between 2,440 and 2,520.
P(2440 < X < 2520) =
d. With probability .20, the number of successes is fewer than how many?
P(X < _ ) = .20