4. Let the random variables X and Y denote the useful lifetimes of two welding machines in hours. The joint PDF of X and
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4. Let the random variables X and Y denote the useful lifetimes of two welding machines in hours. The joint PDF of X and
4. Let the random variables X and Y denote the useful lifetimes of two welding machines in hours. The joint PDF of X and Y is 1 Sxy(1,7) -(2/200+y/400) 0< < 0,0<y< 8 x 104" = 0 otherwise = (a) Find the marginal probability density functions fx(x) and fy(y). (b) Are X and Y statistically independent? (c) What is the average useful lifetime of the welding machine described by X (i.e. the expected value of X)?
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