Exit polling has been a controversial practice in recent elections, since early release of the resulting information appears to affect whether or not those who have not yet voted do so. Suppose that 90% of all registered Wisconsin voters favor banning the release of information from exit polls in presidential elections until after the polls in Wisconsin close. A random sample of 250 Wisconsin voters are selected (You can assume that the responses of those surveyed are independent). Let X be the number of people in the 250 who favor the ban. Required:
a. What is the probability that more than 23 favor the ban?
b. What is the probability that at least 23 favor the ban?
c. What are the mean value and standard deviation of the number who favor the ban in a sample of size 25?
d. Is it probable that fewer than 23 in the sample favor the ban with the assertion that 90% populace favors the ban?