Public Opinion reported that the 5% of Americans are afraid of being alone in house at the night. If random sample of 20 Americans is selected, determine the following probabilities:
A. Exactly 5 people in the sample are afraid of being alone at night
B. There are at most 3 people in the sample are afraid to be alone at night
C. At least 19 people are afraid of being alone at night
D. Find the mean and standard deviation of the distribution