The pdf of weekly gravel sales X is given by k(1-x²) { 0 f(x) = 0≤x≤ 1 otherwise (a) Find the value of k that makes f(x) a probability density function; (b) Find the expected value of X; (c) Find the probability P(-2 < X < 1/2).
The pdf of weekly gravel sales X is given by k(1-x²) { 0 f(x) = 0≤x≤ 1 otherwise (a) Find the value of k that makes f(x) a probability density function; (b) Find the expected value of X; (c) Find the probability P(-2 < X < 1/2).
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
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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Transcribed Image Text:The pdf of weekly gravel sales X is given by
- {*(¹5)
0
f(x) =
k(1-x²) 0≤x≤1
otherwise
(a) Find the value of k that makes f(x) a probability density function;
(b) Find the expected value of X;
(c) Find the probability P(-2 < X < 1/2).
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