Find the joint pdf
1) Let X ~ Pareto(Y). What is distribution for Y = ln ( X + 1) ?
2) If f (x1,x2 ) = 2*exp (-x1 - x2) for 0 Find the joint pdf for Y1=2X1 and Y2 = X2 - X1. Are Y1 and Y2 independent.
Find the joint pdf for Y1=2X1 and Y2 = X2 - X1. Are Y1 and Y2 independent.
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Assume that heat is transfered to the working fluid in the boiler from a reservoir at 1400K and that the fluid ib the condensor rejects heat to the surroundings at 25C. Calculate the power required to operate the pump.
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A long flat bar has the S-N diagram. The bar is 6in wide by .5 in thicj. It has a 2 in hole in the middle. What is the max load the bar can carry if loaded one time?
2) If f (x1,x2 ) = 2*exp (-x1 - x2) for 0<x1<x2<infinity. Find the joint pdf for Y1=2X1 and Y2 = X2 - X1. Are Y1 and Y2 independent.
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