A random variable X has a probability density function given by: (Cx +3, -3s xs-2 f(x)=3-Cx, 2sxs3 0, elsewhere 1. Find the value of c that will make the pdf valid. 2. Derive its corresponding distribution function.

A First Course in Probability (10th Edition)
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Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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A random variable X has a probability density function given by:
[cx +3, -3sxs-2
f(x)={3-cx, 2sxs3
0,
elsewhere
1. Find the value of c that will make the pdf valid.
2. Derive its corresponding distribution function.
Transcribed Image Text:A random variable X has a probability density function given by: [cx +3, -3sxs-2 f(x)={3-cx, 2sxs3 0, elsewhere 1. Find the value of c that will make the pdf valid. 2. Derive its corresponding distribution function.
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