Example 5-17. The elementary probability law of a continilolS f(x) = yoe-), asxS0, b>0, where a, b and y, are constants. Show that y, = b = 1/o and a = m – 0, where m and o are respectively the mean and standard deviation of the distribution. Show also that B, = 4 and B, = 9. %3D %3! %3D

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 29E
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Example 5-17. The elementary probability law of a continuous r.v. is:
f(x) = yoe-a), asxS0, b> 0, where a, b and y, are constants.
Show that y, = b = 1/o and a = m - o, where m and o are respectively the mean and
standard deviation of the distribution. Show also that B, =4 and B, = 9.
%3D
%3D
Transcribed Image Text:Example 5-17. The elementary probability law of a continuous r.v. is: f(x) = yoe-a), asxS0, b> 0, where a, b and y, are constants. Show that y, = b = 1/o and a = m - o, where m and o are respectively the mean and standard deviation of the distribution. Show also that B, =4 and B, = 9. %3D %3D
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