Find the value of c, the expectation of X, and the variance of X. Let X be a random variable with probability density function1. 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)) = (______________).fx(x) = cx if 0≤x≤ 3,0 Otherwise.

The provided information is as follows:The is a random variable with the probability density…

Answered: 1. Find the value of c. 2. Find the…

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 Otherwise. 5

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter13: Probability And Calculus

Section13.1: Continuous Probability Models

Problem 35E

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Question

Find the value of c, the expectation of X, and the variance of X.

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)) = (______________).
fx(x) = cx if 0≤x≤ 3,
0 Otherwise.

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