A random variable X takes values between -2 and 3 with a probability density function (15 if – 2

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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please do the "c" and "d" part only. please don't do it in excel. I want to understand the problem. thank u

A random variable X takes values between -2 and 3 with a probability density function
15
+
64
if – 2<x< 0
64'
f(x) =
+ cx,
8
if 0<x < 3
elsewhere
(a) Find the value of c and sketch the probability density function.
(b) FIND P(-1<X< 1), (c) Find and DRAW cumulative distribution function.
(d) FIND E (X) and V(X).
Transcribed Image Text:A random variable X takes values between -2 and 3 with a probability density function 15 + 64 if – 2<x< 0 64' f(x) = + cx, 8 if 0<x < 3 elsewhere (a) Find the value of c and sketch the probability density function. (b) FIND P(-1<X< 1), (c) Find and DRAW cumulative distribution function. (d) FIND E (X) and V(X).
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