Question

In: Statistics and Probability

Given a random sample of size of n = 4,900 from a binomial probability distribution with...

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

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