f(x) = C √x e 2√x for x 1 (a) Find c. (b) Identify the conditional distribution of X given X > 2 (c) Compute the E[X]

MATLAB: An Introduction with Applications
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2. Let X be a random variable with PDF
f(x) =
C
2√x
√x for x > 1.
(a) Find c.
(b) Identify the conditional distribution of X given X > 2
(c) Compute the E[X]
(d) Obtain the MGF of X. (Express your answer in terms of CDF of standard normal.)
Transcribed Image Text:2. Let X be a random variable with PDF f(x) = C 2√x √x for x > 1. (a) Find c. (b) Identify the conditional distribution of X given X > 2 (c) Compute the E[X] (d) Obtain the MGF of X. (Express your answer in terms of CDF of standard normal.)
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