2-3.3 a) A random variable X has a probability density function of the form fx(x) = exp(-2|x|) -∞

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Problem 2-3.3. But change the problem to say f_X(x)=A/(1+x^2). Solve for A as well.

2-3.3 a) A random variable X has a probability density function of the form
fx (x) = exp(-2|x|)
-∞ < x < ∞
A second random variable Y is related to X by Y = X². Find the probability density
function of the random variable Y.
(5)
b) Find the probability that Y is greater than 2.
Transcribed Image Text:2-3.3 a) A random variable X has a probability density function of the form fx (x) = exp(-2|x|) -∞ < x < ∞ A second random variable Y is related to X by Y = X². Find the probability density function of the random variable Y. (5) b) Find the probability that Y is greater than 2.
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