please answer in very details because I want to learn
It is believed that 58%
of married couples with children agree that a child needs to be disciplined in the right manner. Based on this assumption, what is the probability that, if from 200 randomly chosen married couples,
a.Exactly 110 couples agree with the assumption
b.Less than 110 couples agree with the assumption
c.More than 110 couples agree with the assumption
d.Suppose that we take 20 couples to be a sample, find the probability that the mean of a sample of size 20 will be within 5 units of the population mean.