Problem 9: Consider the function: f(x) = Sc(2x - x3) 0 for 0 < x < otherwise 1523 Could f(x) be a probability density function? If so, determine C.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Question

Please solve and explain each step 

Problem 9:
Consider the function:
Sc(2x - x3)
0
f(x) =
x) = {C(2x
for 0 < x <
otherwise
2
Could f(x) be a probability density function? If so, determine C.
Transcribed Image Text:Problem 9: Consider the function: Sc(2x - x3) 0 f(x) = x) = {C(2x for 0 < x < otherwise 2 Could f(x) be a probability density function? If so, determine C.
Expert Solution
Step 1

Given that function. 

f(x)=C(2x -x3), for 0<x<5/2

           0             ,  o/w

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