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Suppose that the proportion of voters who will vote for Mr. Smith is p=0.41.p=0.41. Let p̂...

Suppose that the proportion of voters who will vote for Mr. Smith is p=0.41.p=0.41. Let p̂ p^ be the sample proportion of voters for Mr. Smith in a random sample of size 106. Find the following probabilities. Do not use the normal approximation.

(a) P(p̂ ≤0.46)

(b) P(0.31≤p̂ ≤0.69)

(c) Find the mean of p̂

(d) Calculate the standard deviation of p̂

Math   Statistics-And-Probability   
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