Question: The k of r out of n circular reliability system k r n
The k-of-r-out-of-n circular reliability system, k ≤ r ≤ n, consists of n components that are arranged in a circular fashion. Each component is either functional or failed, and the system functions if there is no block of r consecutive components of which at least k are failed. Show that there is no way to arrange 47 components, 8 of which are failed, to make a functional 3-of-12-out-of-47 circular system.
Answer to relevant QuestionsThere are 4 different types of coupons, the first 2 of which compose one group and the second 2 another group. Each new coupon obtained is type I with probability pi, where p1 = p2 = 1/8, p3 = p4 = 3/8. Find the expected ...If E[X] = 1 and Var(X) = 5, find (a) E[(2 + X)2]; (b) Var(4 + 3X). If X and Y have joint density function find (a) E[XY] (b) E[X] (c) E[Y] Consider a graph having n vertices labeled 1, 2, . . . , n, and suppose that, between each of the pairs of distinct vertices, an edge is independently present with probability p. The degree of vertex i, designated as Di, is ...Ten hunters are waiting for ducks to fly by. When a flock of ducks flies overhead, the hunters fire at the same time, but each chooses his target at random, independently of the others. If each hunter independently hits his ...
Post your question