The diameter of a particle of contamination (in micrometers) is modeled with the probability densityfunction:-x)(2 – x), l×l <10, otherwisefx(x) =.a) Find the constant c,b) Find E(X) and Var(X),c) Find P (X 2 1/2).

Farmula Var(X)=E(X^2)- [E(X)]^2 We want to find the value (1) C (2) E(X) = ? Var(X) = ? (3)…

The diameter of a particle of contamination (in micrometers) is modeled with the probability density function f«(x) = , 0, otherwise a) Find the constant c, b) Find E(X) and Var(X), c) Find P (X 2 1/2).

The diameter of a particle of contamination (in micrometers) is modeled with the probability density function f«(x) = , 0, otherwise a) Find the constant c, b) Find E(X) and Var(X), c) Find P (X 2 1/2).

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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Question

The diameter of a particle of contamination (in micrometers) is modeled with the probability density
function
:-x)(2 – x), l×l <1
0, otherwise
fx(x) =.
a) Find the constant c,
b) Find E(X) and Var(X),
c) Find P (X 2 1/2).

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