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3. A market research firm conducts telephone surveys with a 40% historical response rate. a.What is the sampling distribution, mean, and standard deviation of, the

3. A market research firm conducts telephone surveys with a 40% historical response rate.

a.What is the sampling distribution, mean, and standard deviation of, the proportion of individuals who respond to these surveys in a sample of 400 telephone numbers?

b.Calculate the probability that in a new sample of 400 telephone numbers, at least 150 individuals will cooperate and respond to the questions?

Hint: What is the probability that the sample proportion will be at least 150/400 = 0.375?

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