o components of a minicomputer have the following joint par for xe-x(1+ y) x 0 and y 0 f(x, y) = 0 otherwise (a) What is the probability that the lifetime X of the first component exceeds 4? (Round your answer to three decimal places.) (b) What is the marginal pdf of X? -y(1+x) dy =ey for y 0 0 -x(1+y) dx=e for y 0 0 -x(1+y) dx = ex for x 0 7-x+y) dy = e* for x 0 1 -x(1+y) dx = for x 0 (1+x)2 -x(1+y) dx = for y 0 (1+ y)2 What is the marginal pdf of Y? -y(1+x) dx = 1 (1 + x)2 for x 0 dy ex for x0 -x+y= dx = ey for y 0 fx dx = dent/Assignment-Responses/last?dep-31335557 work 7-EAS 305, sertion A, Spring 2023 | WebAssign 1 dx- for y 20 -x+y) dx= for y 20 +x) dx for x 20 (1 Are the two lifetimes independent? Explain. Yes, f(x, y) Yes, f(x, y) No, f(x, y) is the product of the marginal pdfs. The two lifetimes are independent. is not the product of the marginal pdfs. The two lifetimes are independent. is the product of the marginal pdfs. The two lifetimes are not independent. Page 4 of 10 4/14/23, 4:24 PM