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Q1 (a) Given probability distribution function for discrete random variable X as below: 2 4 8 10 P(X = x) 0.08 0.25 0.35 0.2 0.12 (i) Find the mean of X. (ii) Find the variance of X.

Q1 (a) Given probability distribution function for discrete random variable X as below: 2 4 8 10 P(X = x) 0.08 0.25 0.35 0.2 0.12 (i) Find the mean of X. (ii) Find the variance of 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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Q1 (a) Given probability distribution function for discrete random variable X as below: 2 4 8 10 P(X = x) 0.08 0.25 0.35 0.2 0.12 (i) Find the mean of X. (ii) Find the variance of X. (b) Let the continuous random variable X has probability density function as follows, (k(x + 2)², -2 <x < 0 4 f(x) = { 4k, 0<x <; 3 0, otherwise (i) Find the value of constant k. Find the value P(-1< x< 1)
Transcribed Image Text:Q1 (a) Given probability distribution function for discrete random variable X as below: 2 4 8 10 P(X = x) 0.08 0.25 0.35 0.2 0.12 (i) Find the mean of X. (ii) Find the variance of X. (b) Let the continuous random variable X has probability density function as follows, (k(x + 2)², -2 <x < 0 4 f(x) = { 4k, 0<x <; 3 0, otherwise (i) Find the value of constant k. Find the value P(-1< x< 1)
Formula Random Variable : ÉPCE, ) = 1, E(X) -E- Po). E(X) =Ex· P(x), E(X²)=Ex² · P(x), L f(x) dx =1, E(X)= [" x•P(x) dx, E(X²)=["x² - P(x) dx , Var(X)= E(X²)-[E(X)]². Special Probability Distributions : P(x = r)="C, · p" ·q"-", r = 0, 1, ..., n, P(X = r) = r! r = 0, 1, ... , o, Z =
Transcribed Image Text:Formula Random Variable : ÉPCE, ) = 1, E(X) -E- Po). E(X) =Ex· P(x), E(X²)=Ex² · P(x), L f(x) dx =1, E(X)= [" x•P(x) dx, E(X²)=["x² - P(x) dx , Var(X)= E(X²)-[E(X)]². Special Probability Distributions : P(x = r)="C, · p" ·q"-", r = 0, 1, ..., n, P(X = r) = r! r = 0, 1, ... , o, Z =
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