Suppose that x is a binomial random variable with n=5, p= 70, and q = .30. (b) For each value of x, calculate p(x). (Round final answers to 4 decimal places.) P(O) = P(4) = p(1) = P(5) - P(2) = P(3) - (c) Find Px = 3). (Round final answer to 4 decimal places.) P(x = 3) (d) Find Pxs 3). (Do not round intermediate calculations. Round final answer to 4 decirkal places.) PIX 53) (e) Find Plx 2). (Do not round intermediate calculations. Round final answer to 4 decimal places.) P(x>2) (h) Use the probabilities you computed in part b to calculate the mean Hy, the variance, 03 and the standard deviation, Oy, of this binomial distribution. Show that the formulas for Hx of and Ox given in this section give the same results. (Do not round intermediate calculations. Round final answers to My in to 2 decimal places, o ? and o, in to 4 decimal places.) LEX ox2 OX ) Calculate the interval [1x + 20%). Use the probabilities of part b to find the probability that will be in this interval (Round your answers to 4 decimal places. A negative sign should be used instead of parentheses.) The intervalist PL sxs