(1 point) Suppose that a variable has a binomial distribution with n = 21 and p = 0.05. Round your answer to 2 decimal places. (a) What is the expected value of the variable? Expected value = (b) What is the standard deviation of the variable?, Standard deviation =(1 point) A basketball player makes 35 % of the free throws he shoots. If he tries 8 free throws what is the probability that: (a) He will make exactly 3 throws? (b) He will make exactly 5 throws? (c) He will make either 3 or 5 throws? Note: Round your answers to 3 decimal places.(1 point) Let the random variable X be the number of rooms in a randomly chosen owner-occupied housing unit in a certain city. The distribution for the units is given below. X 3 4 5 6 7 8 9 10 P(X) 0.09 0.26 0.4 0.16 0.03 0.03 0.01 ? (a) Is X a discrete or continuous random variable? (Type: DISCRETE or CONTINUOUS) ANSWER: (b) What must be the probability of choosing a unit with 10 rooms? P(X = 10) = (c) What is the probability that a unit chosen at random has between four and six rooms? P(4