Normal approximation to the binomial distribution


At Parkview at any given time the probability that a randomly selected student is a female is 30%.With this binomial distribution in mind, assume that there are 80 people currently at Parkview. *For parts A and B solve using the binomial distribution and the normal approximation to the binomial distribution. Be sure to apply continuity correction when using the normal approximation to the binomial distribution.

A. What is the probability that 5% of the people there are female?

B. What is the probability that less than 90% of the people there are male?

C. What is the expected number of females currently there?

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Basic Statistics: Normal approximation to the binomial distribution
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