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Suppose X has exponential distribution with parameter 8. If P(X <1) = P(X > 1), what is var(X)?

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

2. Suppose X has exponential distribution with parameter 8. If P(X <1) = P(X > 1),
what is var(X)? (*
=2²/24, if-2 <I< 4,
3. Let X be a continuous random variable with the p.d.f f(z)
and zero otherwise. Find the p.d.f of Y = X². Hint: consider two cases: 0 <Y < 4
and 4 <Y < 16 separately.

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