5. The profits from three businesses, A, B, and C, are independent random variables with densities (p.d.f's)given as follows. f_{A}(x)=e^{-x}, \quad f_{B}(x)=\frac{2 e^{-2 x / 3}}{3}, \quad f_{C}(x)=\frac{5 e^{-5 x / 12}}{12} All three of the above equations are valid on the interval [0, 00) and the pdf's are zero elsewhere. What is the probability that the largest profit is bigger than 3? (а) 0.002 (b) 0.050 (c) 0.159 (d) 0.287 (e) 0.414

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