Homework SourseLet X be uniform on 0 10 Let Y be exponential with EY 5 Fi
Let X be uniform on [0, 10]. Let Y be exponential with E(Y ) = 5. Find P(X < Y ).
Solution
x is uniform in {0,10]
Hence pdf of x is
Y has exponential distribution with Mean -=5
This implies lemda = 0.2
Hence pdf of y is 0.2e-0.2y, y>=0
P(X, where y takes values from 0 to 10 only
![Let X be uniform on [0, 10]. Let Y be exponential with E(Y ) = 5. Find P(X < Y ).Solutionx is uniform in {0,10] Hence pdf of x is Y has exponential distribut](/WebImages/10/let-x-be-uniform-on-0-10-let-y-be-exponential-with-ey-5-fi-1003684-1761517218-0.webp "Let X be uniform on [0, 10]. Let Y be exponential with E(Y ) = 5. Find P(X < Y ).Solutionx is uniform in {0,10] Hence pdf of x is Y has exponential distribut")
