Let f(x) = xex if x 0 and f(x) = 0 if x < 0. (a)...

Transcribed Image Text:

Let f(x) = xex if x 0 and f(x) = 0 if x < 0. (a) Verify that f(x) satisfies the condition L* = f(x) dx = 1. Knowing that f(x) = xex 0 for x 0, we can state 00 Lo f(x) f(x) dx = = xe-X dx (b) Find P(1 X 4). (Round your answer to four decimal places.) P(1 X 4) = Let f(x) = xex if x 0 and f(x) = 0 if x < 0. (a) Verify that f(x) satisfies the condition L* = f(x) dx = 1. Knowing that f(x) = xex 0 for x 0, we can state 00 Lo f(x) f(x) dx = = xe-X dx (b) Find P(1 X 4). (Round your answer to four decimal places.) P(1 X 4) =