A random variable X has cumulative distribution functionFX(t) ={0 t < 11/2 t − 1/2 1 ≤ t < 21/2 2 ≤ t < 31/2 t − 1 3 ≤ t < 41 4 ≤ t What is the range of X? Compute the probability that |X − 2.5| ≤ 1. Compute the PDF of X.

A random variable X has cumulative distribution functionFX(t) ={0 t < 11/2 t − 1/2 1 ≤ t < 21/2 2 ≤ t < 31/2 t − 1 3 ≤ t < 41 4 ≤ t What is the range of X? Compute the probability that |X − 2.5| ≤ 1. Compute the PDF of X.

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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Question

A random variable X has cumulative distribution function
FX(t) ={
0 t < 1
1/2 t − 1/2 1 ≤ t < 2
1/2 2 ≤ t < 3
1/2 t − 1 3 ≤ t < 4
1 4 ≤ t
What is the range of X?
Compute the probability that |X − 2.5| ≤ 1.
Compute the PDF of X.

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