4 Consider the following two functions, each having an unknown parameter c. Sc(a2 + 4x + 7) -5

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
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4 Consider the following two functions, each having an unknown parameter c.
c (x² + 4x + 7) -5 < x < 5
f (x) =
otherwise,
100 (x – c)² – 1) -5<x < 5
g(x) :
otherwise.
For each, determine if the function can be a probability density function. If so, determine the
appropriate value of c, and if not, explain why.
Transcribed Image Text:4 Consider the following two functions, each having an unknown parameter c. c (x² + 4x + 7) -5 < x < 5 f (x) = otherwise, 100 (x – c)² – 1) -5<x < 5 g(x) : otherwise. For each, determine if the function can be a probability density function. If so, determine the appropriate value of c, and if not, explain why.
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Step 1

Given,

The following two functions:

 

                                               f(x) = c(x2 + 4x + 7)        -5 < x< 50                               Otherwiseg(x) = 1100x-c2 - 1       -5 < x< 50                                  Otherwise

 

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