The time T needed to fix a machine is a dramatically circulated irregular variable with mean, (hours). (a) What is the likelihood that a maintenance time surpasses, hour?

(b) What is the likelihood that a maintenance takes in any event hours given that its term surpasses 12, hours?

Q10

Leave X alone a dramatic arbitrary variable. With no calculations, tell which one of coming up next is right. Clarify your answer. (a) E[X2IX > 1] = Eux+ 1)2] (b) E[X2IX > 1] = EjX2]+ 1 (c) E[X2IX > 1] = (1 + E[X])2

Q11

Think about a mail center with two representatives. Three individuals, A, B, and C, enter all the while. An and B go straightforwardly to the representatives, and C holds up until one or the other An or B leaves before he starts administration. What is the likelihood that An is as yet in the mail center after the other two have left when (a) the assistance time for each agent is actually (nonrandom) ten minutes? (b) the help times would i say i are with likelihood 1., I = 1,2,3? (c) the help times are outstanding with mean lip?

Q12

Leave X and Y alone autonomous outstanding arbitrary factors with individual rates An and p. Let M= min(X, Y). Find (a) EIMXIM = XJ

(b)EIMXIM= YJ

(c) Cov(X, M).