Let X X and X3 represent the times necessary to perform three successive repair tasks at a certain service facility Suppose they are independent normal rv s with expected values M and 3 a variances 2 022 and 32 respectively Round your answers to four decimal places USE SALT 2 2 a If H H H3 50 and 0 0 03 15 calculate P T 170 and P 120 T 170 P T 170 P 120 T 170 b Using the s and a s given in part a calculate both P 45 X and P 48 x 52 P 45 X P 48 x 52 c Using the us and oi s given in part a calculate P 10 X 0 5X 0 5X3 5 P 10 X 0 5X 0 5X3 5 Interpret the quantity P 10 X 0 5X 0 5X3 5 The quantity represents the probability that the difference between X and the sum of X and X3 is between 10 and 5 The quantity represents the probability that X X2 and X3 are all between 10 and 5 The quantity represents the probability that the difference between X3 and the average of X and X is between The quantity represents the probability that the difference between X and the average of X and X3 is between The quantity represents the probability that the difference between X3 and the sum of X and X is between 10 and 5 10 and 5 10 and 5 d If 30 40 H3 50 0 12 0 2 10 and o32 14 calculate P X X X3 130 and also P X X 2X3 P X X X3 130 P X X 2X3