Exercise 6.21 (Algo) METHODS AND APPLICATIONS Suppose that x is a binomial random variable with n=5. p=_56, and q=.44. (b) For each value of x, calculate p(x). (Round final answers to 4 decimal places.) Answer is complete and correct. p(0) 0.0164P(1) 0.1049 (2) 0.2671 (3) 0.3395 p(4) 0.2163 P(5) 0.0550 (c) Find P[x = 3). (Round final answer to 4 decimal places.) Answer is complete and correct. P(x = 0.3399 3) (d) Find Plxs 3). (Do not round intermediate calculations. Round final answer to 4 decimal places.) Answer is complete and correct. P(xs 0.7285 3) (e) Find Plx2). (Do not round intermediate calculations. Round final answer to 4 decimal places.) Answer is complete but not P(x > 2) 0.8787% brrect. (h) Use the probabilities you computed in part b to calculate the mean Hy, the variance, of , and the standard deviation, ox, 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 2x and Ox in to 4 decimal places.) X Answer is complete but not correct. ux Ox^2 21.23 1.1100 2.80 0) Calculate the interval (Hx20x]. 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.) X Answer is not complete. 1.0000 The interval is PC 1.0000 SXS 5.0000X 0.9835