A continuous random variable X has a probability density function: Sm[1 – x²) ,-1

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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(а)
A continuous random variable X has a probability density function:
[m(1 – x²) ,-1<x<1
f(x)=.
,elsewhere
Find:
(i)
the value of m.
(ii)
P(0s X <0.5).
(iii)
Е(x).
(iv)
standard deviation of X.
Transcribed Image Text:(а) A continuous random variable X has a probability density function: [m(1 – x²) ,-1<x<1 f(x)=. ,elsewhere Find: (i) the value of m. (ii) P(0s X <0.5). (iii) Е(x). (iv) standard deviation of X.
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