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
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