Question 1 (20 points) (A) The random variable X represents the number of credit cards that adults have, along with the corresponding probabilities. X P(X) 010.05 10.70 20.20 310.04 410.01 a) What is the expected number of credit cards that adults have? b) What is the standard deviation of the number of credit cards that adults have? (Round you answer to two decimal places). (B) In a large metropolitan area, past records revealed that 30 percent of all the high school graduates go to college. Twenty graduates are selected at random. a) Given that the above distribution is a Binomial, what is the probability that exactly 8 will go to college? (Round it to thousandth position) b) What is the mean of the number of those who will go to college? c) What is the variance of the number of those who will go to college