Given the following probability distribution for the random variable x, what is the probability that the random variable has a value of 0? X 0 1 2 3 4 5 P(x) ? 0.23 0.08 0.04 0.32 0.17 Wis
Given the following probability distribution for the random variable x, what is the probability that the random variable has a value of 0? X 0 1 2 3 4 5 P(x) ? 0.23 0.08 0.04 0.32 0.17 Wis
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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Question
![**Probability Distribution Problem**
Given the following probability distribution for the random variable \( x \), what is the probability that the random variable has a value of 0?
| \( x \) | 0 | 1 | 2 | 3 | 4 | 5 |
|-----------|-----|-----|-----|-----|-----|-----|
| \( P(x) \)| ? | 0.23| 0.08| 0.04| 0.32| 0.17|
**Explanation:**
To find the missing probability \( P(x = 0) \), recall that the sum of all probabilities in a probability distribution must equal 1.
Thus, we calculate:
\( P(x = 0) = 1 - (0.23 + 0.08 + 0.04 + 0.32 + 0.17) \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe4299fda-4eca-4f5e-9eb2-cd6160b169dc%2F327aca55-f27e-4255-82b8-58ef44a40c3e%2F71k7ss2b_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Probability Distribution Problem**
Given the following probability distribution for the random variable \( x \), what is the probability that the random variable has a value of 0?
| \( x \) | 0 | 1 | 2 | 3 | 4 | 5 |
|-----------|-----|-----|-----|-----|-----|-----|
| \( P(x) \)| ? | 0.23| 0.08| 0.04| 0.32| 0.17|
**Explanation:**
To find the missing probability \( P(x = 0) \), recall that the sum of all probabilities in a probability distribution must equal 1.
Thus, we calculate:
\( P(x = 0) = 1 - (0.23 + 0.08 + 0.04 + 0.32 + 0.17) \).
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
Step 1l
x | p(x) |
0 | a |
1 | 0.23 |
2 | 0.08 |
3 | 0.04 |
4 | 0.32 |
5 | 0.17 |
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