Let X be a random number with probability density function 1. Find the expectation E[X] of X. 2. Find the variance Var(X) of X. fx(x) = 256x²e-8 if x ≥ 0, 0 Otherwise.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Find the expectation and varience of X.

Let X be a random number with probability density function
1. Find the expectation E[X] of X.
2. Find the variance Var (X) of X.
(E[X], Var(X)) = ¯¯¯).
(
2-8x
fx(x) = 256x² e if x ≥ 0,
0 Otherwise.
Transcribed Image Text:Let X be a random number with probability density function 1. Find the expectation E[X] of X. 2. Find the variance Var (X) of X. (E[X], Var(X)) = ¯¯¯). ( 2-8x fx(x) = 256x² e if x ≥ 0, 0 Otherwise.
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