Consider the probability distribution function (PDF) f(x) = Ax sin x, for 0

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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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Question 3  (parts a, b, and c) - all parts please

Consider the probability distribution function (PDF)
f(x) = Ax sin x,
for 0<x< A
(a) Consider whether f is a PDF. If it is not, what value of A will make it so?
(b) Find P(0 <x<n/2).
(c) Find the average value of x.
Transcribed Image Text:Consider the probability distribution function (PDF) f(x) = Ax sin x, for 0<x< A (a) Consider whether f is a PDF. If it is not, what value of A will make it so? (b) Find P(0 <x<n/2). (c) Find the average value of x.
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