The life X of of a repairing device is Exp(1/a) distributed. Peter wishes to use it on n different, independent, Exp(1/(n*a))-distributed occasions. Compute the probability P_n that this is possible. [Answer: (n/(n+1))^n]
First problem here is interpreting the question. Is n (the number of occasions) a stochastic variable which is Exp(1/(n*a)) distributed ? this makes no sense to me so i assume they mean that N(the number of occasions) is Exp(1/(n*a)) distributed. Second problem: interpreting "probability P_n that this is possible". Do we mean the probability that the life is >0 given that N = k? In that case it is always 1, since X is indepent from N. As you can see i need help in understanding the question itself, and some major pointers in retrieving the answer. . . ================================================================= Instructions for joining and leaving this list, remarks about the problem of INAPPROPRIATE MESSAGES, and archives are available at: . http://jse.stat.ncsu.edu/ . =================================================================
