64% of Americans will carve a pumpkin for Halloween. Suppose a random sample of 200 Americans is taken.
a) Describe the sampling distribution of pˆ (give the values for µpˆ and σ pˆ , rounded to 3 decimal places).
b) What is the probability that more than 70% of them carve a pumpkin?
c) What is the probability that fewer than 125 of them carve a pumpkin?
d) Would it be unusual for less than half of them to carve a pumpkin?
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