# Question: The time X to failure of a machine has pdf Compute

The time X to failure of a machine has pdf

Compute P(X > 5 | X > 4).

Compute P(X > 5 | X > 4).

**View Solution:**## Answer to relevant Questions

Suppose that the length W of a man’s life does follow the Gompertz distribution with λ(w) = a(1.1)w = ae(ln 1.1)w, P(63 < W < 64) = 0.01. Determine the constant a and P(W ≤ 71 | 70 < W). Roll a pair of four-sided dice, one red and one black, each of which has possible outcomes 1, 2, 3, 4 that have equal probabilities. Let X equal the outcome on the red die, and let Y equal the outcome on the black die. (a) ...The joint pmf of X and Y is f(x, y) = 1/6, 0 ≤ x + y ≤ 2, where x and y are nonnegative integers. (a) Sketch the support of X and Y. (b) Record the marginal pmfs fX(x) and fY(y) in the “margins.” (c) Compute Cov(X, ...Show that in the bivariate situation, E is a linear or distributive operator. That is, for constants a1 and a2, show that In a college health fitness program, let X denote the weight in kilograms of a male freshman at the beginning of the program and Y denote his weight change during a semester. Assume that X and Y have a bivariate normal ...Post your question