Use the probability distribution for the random variable x to answer the question. 2 3 4 p(x) 0.12 0.25 0.25 0.26 0.12 What is the probability that x is 3 or less?
Use the probability distribution for the random variable x to answer the question. 2 3 4 p(x) 0.12 0.25 0.25 0.26 0.12 What is the probability that x is 3 or less?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![**Probability Distribution for a Random Variable**
To answer the question about the probability that the random variable \( x \) is 3 or less, refer to the following probability distribution table:
| \( x \) | 0 | 1 | 2 | 3 | 4 |
|-----------|-----|-----|-----|-----|-----|
| \( p(x) \)| 0.12| 0.25| 0.25| 0.26| 0.12|
**Question:**
What is the probability that \( x \) is 3 or less?
**Solution:**
To find this probability, sum the probabilities for \( x = 0 \), \( x = 1 \), \( x = 2 \), and \( x = 3 \):
\[ p(x \leq 3) = p(0) + p(1) + p(2) + p(3) = 0.12 + 0.25 + 0.25 + 0.26 \]
Calculate the total to get the probability that \( x \) is 3 or less.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3fdf87a1-6c5c-465d-8ddf-eaf69800c0eb%2F0bb275f7-b364-4d91-9d8b-059996d82860%2Fw3r9g9r_processed.png&w=3840&q=75)
Transcribed Image Text:**Probability Distribution for a Random Variable**
To answer the question about the probability that the random variable \( x \) is 3 or less, refer to the following probability distribution table:
| \( x \) | 0 | 1 | 2 | 3 | 4 |
|-----------|-----|-----|-----|-----|-----|
| \( p(x) \)| 0.12| 0.25| 0.25| 0.26| 0.12|
**Question:**
What is the probability that \( x \) is 3 or less?
**Solution:**
To find this probability, sum the probabilities for \( x = 0 \), \( x = 1 \), \( x = 2 \), and \( x = 3 \):
\[ p(x \leq 3) = p(0) + p(1) + p(2) + p(3) = 0.12 + 0.25 + 0.25 + 0.26 \]
Calculate the total to get the probability that \( x \) is 3 or less.
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