Assume that we observe Xi, for i=1 to n are iid draws from a Bernoulli distribution with p =0.3.

Assume that we observe Xi, for i=1 to n are iid draws from a Bernoulli distribution with p =0.3.

Use the Central Limit Theorem to compute approximations for the following:

a) in a sample size of 100, the probability that the sample mean of X is greater than or equal to 0.35

b) In a sample size of 400, the probability that the sample mean of X is less than 0.27.