Let X, X3, and X, 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 u,, Hg, and u, and variances o,?, o,?, and o,, respectively. (Round your answers four decimal places.) n USE SALT (a) If #, = H2 = H3 = 70 and o,? = 0,² = 0,² = 18, calculate P(T, s 228) and P(174 s T, 5 228). P(T, S 228) = P(174 ST,S 228) = (b) Using the u's and o's given in part (a), calculate both P(64 s X) and P(68 s X S 72). P(64 sX) = P(68 sXS 72) = (c) Using the u's and a's given in part (a), calculate P(-12 s x, - 0.5x, - 0.5x, s 6). P(-12 sx, - 0.5x, - 0.5X, s 6) = | Interpret the quantity P(-12 s x, - 0.5x, - 0.5x, s 6). O The quantity represents the probability that the difference between X, and the sum of X, and X, is between -12 and 6. O The quantity represents the probability that the difference between x, and the sum of X, and X, is between -12 and habilit
Let X, X3, and X, 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 u,, Hg, and u, and variances o,?, o,?, and o,, respectively. (Round your answers four decimal places.) n USE SALT (a) If #, = H2 = H3 = 70 and o,? = 0,² = 0,² = 18, calculate P(T, s 228) and P(174 s T, 5 228). P(T, S 228) = P(174 ST,S 228) = (b) Using the u's and o's given in part (a), calculate both P(64 s X) and P(68 s X S 72). P(64 sX) = P(68 sXS 72) = (c) Using the u's and a's given in part (a), calculate P(-12 s x, - 0.5x, - 0.5x, s 6). P(-12 sx, - 0.5x, - 0.5X, s 6) = | Interpret the quantity P(-12 s x, - 0.5x, - 0.5x, s 6). O The quantity represents the probability that the difference between X, and the sum of X, and X, is between -12 and 6. O The quantity represents the probability that the difference between x, and the sum of X, and X, is between -12 and habilit
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.
