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.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
Related questions
Question
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 =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2dc0149b-c619-4e30-9fb6-67f0c287625b%2Ffa9e13fe-fcc9-4424-b32b-b400aa851679%2Fpuhx9k_processed.png&w=3840&q=75)
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 =
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 1 images
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill