Given a random sample size of n = 1, 600 from a binomial probability distribution with P

Question:

Given a random sample size of n = 1, 600 from a binomial probability with P = 0.40 do the following:
a. Find the probability that the percentage of successes is greater than 0.45.
b. Find the probability that the percentage of successes is less than 0.35.
c. Find the probability that the percentage of successes is between 0.37 and 0.44.
d. With probability 0.20, the percentage of successes is less than what percent?
e. With probability 0.09, the percentage of successes is greater than what percent? Distribution
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