1 A device with two components functions only if both components function Suppose that the joint probability density function of X and Y, the lifetimes of the components, in years, is (a) Find the probability that the device functions for at least 2 years (b) Find the marginal distribution function of X 18 (x y) if 0 3 and 0 y 5 f(x, y) 60 otherwise

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Question: 1. A device with two components functions only if both components function. Suppose that the joint probability density function of X and Y, the lifetimes

1. A device with two components functions only if both components function. Suppose that the joint probability density function of X and Y, the lifetimes of the components, in years, is

-18 (x + y) if 0 <

(a) Find the probability that the device functions for at least 2 years.

(b) Find the marginal distribution function of X.

-18 (x + y) if 0 <

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