Let X1 and X2 be a random sample of size n 2 from the exponential distribution with pdf f(x) 2e2x, 0 x Find (a) P(0 5 X1 1 0, 0 7 X2 1 2) (b) E X1(X2 0 5)2 ...

a b E X 1 E X 2 05 E X 1 X 2 0 ...

Let X1 and X2 be a random sample of size n = 2 from the exponential distribution

Question:

Let X1 and X2 be a random sample of size n = 2 from the exponential with pdf f(x) = 2e−2x, 0 < x < ∞. Find
(a) P(0.5 < X1 < 1.0, 0.7 < X2 < 1.2).
(b) E[X1(X2 − 0.5)2].
Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...