(1 point) Suppose that a variable has a binomial distribution with n = 27 and p = 0.13. 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 = Note: You can earn partial credit on this problem. Preview My Answers Submit Answers You have attempted this problem 0 times. You have unlimited attempts remaining. Email Instructor Page generated at 06/16/2021 at 09:49am EDT WeBWork @ 1996-2019| theme: math4 | ww_version: 2.15 | pg_version 2.15] The WebWork Project MacBook Air F4 -- F6 F8 F9 20 F3 988 F5 F7 F1 F2 @ # $ % & 3 4 5 6 7 8 9 N W E R T Y U S D F G H(1 point) A basketball player makes 30 % of the free throws he shoots. If he tries 8 free throws what is the probability that: (a) He will make exactly 2 throws? (b) He will make exactly 6 throws? (c) He will make either 2 or 6 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 5 6 7 8 9 10 P(X) 0.06 0.2 0.43 0.18 0.03 0.05 0.03 ? (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 less than five rooms? P(X