Q5 An electronic device consists of two components. Let
xand
Y[years] be the times to failure of the first and second components, respectively. Assume that
(x,Y)has the density
f(x,y)=4e^(-2(x+y))if
x,yboth are
>0and 0 otherwise. (a) Are
xand
Ydependent or independent? (b) Find the densities of the marginal distributions. (c) What is the probability that the first component will have a lifetime of 2 years or longer?
