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A random variable x has a density function f(x) = C*+1), where 0 < x < 2 2 Find: 1. The value of constant c 2. Р(x < 1) 3. Е (X) 4. Е (X?) 5. Var (X)

A random variable x has a density function f(x) = C*+1), where 0 < x < 2 2 Find: 1. The value of constant c 2. Р(x < 1) 3. Е (X) 4. Е (X?) 5. Var (X)

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Step 1 "Since you have posted a question with multiple sub-parts, we will solve first three subparts for you. To get the remaining sub-parts solved, please repost the complete question and mention the sub-parts to be solved.". Given: f(x)=c(x+1)2, where 0sxs2 Step 2 1) To find the value constant c SXERF(x)dx=1c/02x+12dx=1cx24+x202=1c(1+1)=1c=12f(x)=(x+1)4, where Osxs2 2)To find P(xs1) p(xs1)=/01f(x)dx=S01(x+1)4dx=S01x4+14dx=x28+x401p(x<1)=18+14p(xs1)=38 3) E(x) E(x)=SxERxf(x)dx=502x(x+1)4dx=S02x24+x4dx=x312+x2802=812+48=1412=76 "Since you have posted a question with multiple sub-parts, we will solve first three subparts for you. To get the remaining sub-parts solved, please repost the complete question and mention the sub-parts to be solved.".
Transcribed Image Text:Step 1 "Since you have posted a question with multiple sub-parts, we will solve first three subparts for you. To get the remaining sub-parts solved, please repost the complete question and mention the sub-parts to be solved.". Given: f(x)=c(x+1)2, where 0sxs2 Step 2 1) To find the value constant c SXERF(x)dx=1c/02x+12dx=1cx24+x202=1c(1+1)=1c=12f(x)=(x+1)4, where Osxs2 2)To find P(xs1) p(xs1)=/01f(x)dx=S01(x+1)4dx=S01x4+14dx=x28+x401p(x<1)=18+14p(xs1)=38 3) E(x) E(x)=SxERxf(x)dx=502x(x+1)4dx=S02x24+x4dx=x312+x2802=812+48=1412=76 "Since you have posted a question with multiple sub-parts, we will solve first three subparts for you. To get the remaining sub-parts solved, please repost the complete question and mention the sub-parts to be solved.".
A random variable x has a density function f(x) = с (х+1) where 0 <x < 2 2 Find: 1. The value of constant c 2. Р(x < 1) 3. Е(X) 4. Е(X2) 5. Var (X)
Transcribed Image Text:A random variable x has a density function f(x) = с (х+1) where 0 <x < 2 2 Find: 1. The value of constant c 2. Р(x < 1) 3. Е(X) 4. Е(X2) 5. Var (X)
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