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(a) Е(X), (Ь) var (X), (c) P(-2

(a) Е(X), (Ь) var (X), (c) P(-2

Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter8: Introduction To Functions
Section8.8: Linear And Quadratic Functions
Problem 4ST
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Question
Unif (-1,1). Compute (a) E(X), (b) var(X), (c) P(-2 < X < 0.5), (d) P(X = 0.5), (e) P(X² > 0.5). Exercise 1. Suppose that X N
Transcribed Image Text:Unif (-1,1). Compute (a) E(X), (b) var(X), (c) P(-2 < X < 0.5), (d) P(X = 0.5), (e) P(X² > 0.5). Exercise 1. Suppose that X N
Expert Solution
Step 1

Let , X\to Uni(a=-1,b=1)

The pdf of X is given by ,

f(x)=\frac{1}{b-a}=\frac{1}{1-(-1)}=\frac{1}{2}=0.5;-1\leq x\leq 1

= 0 ; otherwise

Our aim is to find the following :

a) E(X)

b) Var(X)

c) P(-2<X<0.5)

As per our guidelines, we are supposed to answer only 3 sub-parts and rest can be reposted.

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