Question

Use a normal approximation to find the probability of the indicated number of voters. In this​ case, assume that 165 eligible voters aged​ 18-24 are randomly selected. Suppose a previous study showed that among eligible voters aged​ 18-24, 22% of them voted. Probability that exactly 40 voted The probability that exactly 40 of 165 eligible voters voted is nothing

Answer 1

Let X denote the number of eligible voters. Then

Using Normal approximation to Binomial distribution,

Required probability =

{Due to continuity correction as a result of using Normal approximation for Binomial distribution}