3 students apply to a PhD program.The program accepts 65% of all applicants.Students are accepted and rejected independently of each other.Let the random variable X represent the number out of the 3 students who get accepted from the PhD Program. (Hint: Binomial distribution with n=3 and p=65%)

What is the mean of the random variable?(round your answer to 4 decimal places)

4 students apply to a PhD program.The program accepts 70% of all applicants.Students are accepted and rejected independently of each other.Let the random variable X represent the number of the 4 students who get accepted into the PhD Program.(Hint: Binomial distribution with n=4, P=70%)

What is the standard deviation of the random variable?(round your answer to 4 decimal places)