# Normal Approximation of the Binomial

See the attached file.

According to a recent census, 52.2% of New York residents are male. Suppose a group of 100 New York residents are selected at random.

A) What is the mean and standard deviation of the number of male members of the group?

B) Use the normal approximation to find the probability that less than half of the members of the group are male.

C) Use the normal approximation to find the probability that the number of male members of the group is between 45 and 55.

https://brainmass.com/statistics/probability/normal-approximation-binomial-273763

#### Solution Preview

Please see the attached file.

According to a recent census, 52.2% of new York residents are male. Suppose a group of 100 New York residents are selected at random.

A) What is the mean and standard deviation of the number of male members of the group?

B) Use the normal approximation to find the probability that less than half of the members of the group are male.

C) Use the normal approximation to find the probability that the number of male members of the group is ...

#### Solution Summary

The solution calculates probabilities using normal approximation of the binomial.