In your own town, the number of individuals voting in the next election is 800. Of those voting, 600 are Republicans. Assume the probability of getting a Republican on each sampling stays the same. If you randomly sample 60 individuals, one at a time, from the voting population, calculate the following:
a) The normal distribution that the binomial distribution approximates has a mean of:
b) The normal distribution that the binomial distribution approximates has a standard deviation of:
c) What is the probability there will be 42 or more Republicans in the sample?
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