In a certain high-risk group, the probability of a person getting infected with a virus is 65%. If 8 people are randomly selected, find the following probabilities (assuming sampling with replacement.)
A. P[exactly 2 are infected]
B. P[at least 2 are infected]
C. P[no one is infected]
D. P[no more than 4 more are infected]
E. Determine the mean and variance for this binomial random varible (population)