2. Density with unknown a. Find a such that ax², 1

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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2. Density with unknown a. Find a such that
ax²,
{
1< x < 5,
f (x) =
0,
otherwise.
density, pdf f(x)
probability, cdf F(x) = P(X < x)
0.75
0.75 +
0.50
0.50
0.25+
0.25
1
2
4
Figure 3.4: f(x) and F(x)
(a) Find constant a. Since the cdf F(5) = 1, and
Transcribed Image Text:2. Density with unknown a. Find a such that ax², { 1< x < 5, f (x) = 0, otherwise. density, pdf f(x) probability, cdf F(x) = P(X < x) 0.75 0.75 + 0.50 0.50 0.25+ 0.25 1 2 4 Figure 3.4: f(x) and F(x) (a) Find constant a. Since the cdf F(5) = 1, and
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