Let X be a random variable with probability density function 1. Find the value of c. 2. Find the expectation E[X] of X. 3. Find the variance Var(X) of X. (c, E[X], Var(X)) = 0.0006,5.0000,0.7143 fx(x) = ca if 0≤x≤6, 0 Otherwise.
Let X be a random variable with probability density function 1. Find the value of c. 2. Find the expectation E[X] of X. 3. Find the variance Var(X) of X. (c, E[X], Var(X)) = 0.0006,5.0000,0.7143 fx(x) = ca if 0≤x≤6, 0 Otherwise.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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How were the correct answers of 0.0006, 5.0000, and 0.7143 attained?
![Let X be a random variable with probability density function
fx(x) = cx
0
1. Find the value of c.
2. Find the expectation E[X] of X.
3. Find the variance Var (X) of X.
(c, E[X], Var(X)) = 0.0006,5.0000,0.7143
if 0≤x≤ 6,
Otherwise.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1467f162-7185-45ab-925a-2589d3c8cce7%2Fb5aeb7af-af5e-47f0-b0ef-fc0cf5fb968e%2Fdnzq2u_processed.png&w=3840&q=75)
Transcribed Image Text:Let X be a random variable with probability density function
fx(x) = cx
0
1. Find the value of c.
2. Find the expectation E[X] of X.
3. Find the variance Var (X) of X.
(c, E[X], Var(X)) = 0.0006,5.0000,0.7143
if 0≤x≤ 6,
Otherwise.
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