Examine the probability distribution shown below. Complete parts a through d the 0.10 X 5 10 15 20 25 30 35 40 45 50 E(x P(x) 0.02 0.03 0.17 0.20 0.30 0.10 0.09 0.02 0.01 0.06 H. ( wer ER a Calculate the expected value and standard deviation for this random variable. FOG E(x)= (Type an integer or a decimal.) By =(Round to two decimal places as needed.) Is vi b Denote the expected value as u. Calculate p - G and p + o. e the 25 0.1 H-o= (Round to two decimal places as needed.) in into H +0= (Round to two decimal places as needed.) ate u- c. Determine the proportion of the distribution that is contained within the interval p t o. swer (Type an integer or a decimal.) on Hi 25 15 d. Repeat part c for (1) p 1 20 and (2) u$30. 5 rand (1) Determine the proportion of the distribution that is contained within the interval p +20. swer (Type an integer or a decimal.)