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.
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)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
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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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1467f162-7185-45ab-925a-2589d3c8cce7%2Fa75eef08-372d-4ecf-8c9b-b37e8abb0805%2Fbl7mad_processed.png&w=3840&q=75)
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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