1. You have the following PDF: f(x) = { 1≤x≤e. (a) Find the value of c such that this is a valid PDF. (b) Calculate E(X). (e) Calculate V(X).

MATLAB: An Introduction with Applications
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1. You have the following PDF: f(x) = {
1≤x≤e.
(a) Find the value of c such that this is a valid PDF.
(b) Calculate E(X).
(c) Calculate V(X).
(d) Calculate F(x).
Transcribed Image Text:1. You have the following PDF: f(x) = { 1≤x≤e. (a) Find the value of c such that this is a valid PDF. (b) Calculate E(X). (c) Calculate V(X). (d) Calculate F(x).
Expert Solution
Step 1

Given that 

Probability density functions of X is 

f(x) = 1/9   , 1 <= x <= c

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