5. A continuous random variable, X, is modelled by the uniform distribution such that f(x) = { 004 (a) Find the value of a. (b) Find P(2.5 ≤ x ≤ 3). (c) Compute E(X). , a≤x≤4 otherwise "

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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5. A continuous random variable, X, is modelled by the uniform distribution such that
f(x) = {\
(a) Find the value of a.
(b) Find P(2.5 ≤ x ≤3).
(c) Compute E(X).
0.4, a≤x≤4
0, otherwise
>
Transcribed Image Text:5. A continuous random variable, X, is modelled by the uniform distribution such that f(x) = {\ (a) Find the value of a. (b) Find P(2.5 ≤ x ≤3). (c) Compute E(X). 0.4, a≤x≤4 0, otherwise >
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