Suppose that x is a binomial random variable with n = 5, p = 0.91, and q = .09. (b) For each value of x, calculate p(x). (Round final answers to 4 decimal places.) P(0) = , P(1) = , P(2) = , P (3) = P(4) = , P(5) = (c) Find P(x = 3). (Round final answer to 4 decimal places.) P(x=3)+0 0 0 0 0 0 0 0 0# (d) Find P(x 3). (Do not round intermediate calculations. Round final answer to 4 decimal places.) (e) Find P(x 2). (Do not round intermediate calculations. Round final answer to 4 decimal places.) P(x > 2)0 0 0 0 0 0 0 00 0 (i) Calculate the interval [x @ 2x]. Use the probabilities of part b to find the probability that x will be in this interval. Hint: When calculating probability, round up the lower interval to next whole number and round down the upper interval to previous whole number. (Round your answers to 4 decimal places. A negative sign should be used instead of parentheses.) *XX