15. Let X be a discrete random variable with the following cdf: x < -2 2≤ x < -1 - 1
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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![15. Let X be a discrete random variable with the following cdf:
x < -2
2≤ x < -1
- 1<x<0
0<x< 1
1<x<2
x ≥ 2
0,
1/8,
3/8,
5/8,
7/8,
1,
a) Find the probability distribution function of X.
F(x) =
b) Find the expected value and standard deviation of X.
c) Find P(-1 ≤ x ≤ 1)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fece3d40f-e8f0-464a-aada-c18e494e1994%2Ff2b898b7-5872-45f4-8da0-0b731467635e%2Fqwz53gl_processed.png&w=3840&q=75)
Transcribed Image Text:15. Let X be a discrete random variable with the following cdf:
x < -2
2≤ x < -1
- 1<x<0
0<x< 1
1<x<2
x ≥ 2
0,
1/8,
3/8,
5/8,
7/8,
1,
a) Find the probability distribution function of X.
F(x) =
b) Find the expected value and standard deviation of X.
c) Find P(-1 ≤ x ≤ 1)
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