Given a population in which the probability of a success is p = 0.40, if a sample

Question:

Given a population in which the probability of a success is p = 0.40, if a sample of 1,000 is taken,
a. Calculate the probability the proportion of successes in the sample will be less than 0.42.
b. What is the probability the proportion of successes in the sample will be greater than 0.44?

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