The lifetime (in months) of two components in a certain device are random variables X
Chapter 15, Problem 51(choose chapter or problem)
The lifetime (in months) of two components in a certain device are random variables X and Y that have joint probability distribution function p(x, y) = 1 9216 (48 2x y) if x 0, y 0, 2x + y 48 0 otherwise Calculate the probability that both components function for at least 12 months without failing. Note that p(x, y)is nonzero only within the triangle bounded by the coordinate axes and the line 2x + y = 48 shown in Figure 20. 2x + y = 48 x (months) 12 24 Region where x 12, y 12 and 2x + y 48 36 24 12 48 y (months)
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