How were the correct answers of 0.0006, 5.0000, and 0.7143 attained? Let X be a random variable with probability density functionfx(x) = cx01. 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)) = 0.0006,5.0000,0.7143if 0≤x≤ 6,Otherwise.

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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

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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Question

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.

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