The time-to-failure in months, X, of light bulbs produced at two manufacturing plants A and B obey, respectively, the fo
Posted: Wed Nov 24, 2021 10:06 am
The time-to-failure in months, X, of light bulbs produced at two manufacturing plants A and B obey, respectively, the following PDF's Fx (0) = (1 -e-/5)u(x) for plant A Fx(T) = (1 - 2-3/2)+(x) for plant B. Plant B produces three times as many bulbs as plant A. The bulbs, indistinguishable to the eye, are intermingled and sold. What is the probability that a bulb purchased at random will burn at least (a) two months; (b) five months; (c) seven months?