Question

Random variables W & E, where Q = W + U. Pdfs for W & E respectively are f_W(w) = (w-4)e^{4-w); w $\geq$ 4 , f_U(u) = e^{4-u}; u $\geq$ 4 -- find f_Q(q)

Answer 1

Ans Given that, Q=WHO. SO Given polf's of w and u are f (w) = (W-4) et ; wz4 4-W 14-u) ; UI 4 - Q = wť o f®) – fw (W) + tu cu) i 4-0 (4-0) , to (a) = (0-4) e te W 24; 074 WINTAS