Chapter 10, Problem 19RE

In the last presidential election, $39\%$ of a city’s registered voters actually cast ballots.

(A)In a random sample of $20$ registered voters from that city, what is the probability that exactly 8 voted in the last presidential election?

(B) Verify by the rule-of-thumb test that the normal distribution with mean $7.8$ and standard deviation $2.18$ is a good approximation of the binomial distribution with $n=20$ and $p=.39$.

(C) For the normal distribution of part (B), $P\left(x=8\right)=0$. Explain the discrepancy between this result and your answer from part (A)