Fill in the missing value to make a valid probability distribution. 6 9 0.14 0.23 X P(x) 3 0.05 What is the missing probability? (Type an integer or a decimal.) 12 0.49 ... 15 0.05 18
Fill in the missing value to make a valid probability distribution. 6 9 0.14 0.23 X P(x) 3 0.05 What is the missing probability? (Type an integer or a decimal.) 12 0.49 ... 15 0.05 18
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![**Probability Distribution Completion Exercise**
To ensure this probability distribution is valid, fill in the missing probability.
| x | 3 | 6 | 9 | 12 | 15 | 18 |
|-----|------|------|------|------|------|------|
| P(x)| 0.05 | 0.14 | 0.23 | 0.49 | 0.05 | ? |
**Question:** What is the missing probability?
*(Type an integer or a decimal.)*
**Explanation:**
A probability distribution is valid if the sum of all probabilities equals 1. Here, you need to calculate the missing probability for x = 18.
Start by summing the probabilities provided:
\[ 0.05 + 0.14 + 0.23 + 0.49 + 0.05 = 0.96 \]
To find the missing probability:
\[ 1 - 0.96 = 0.04 \]
Thus, the missing probability P(18) = 0.04.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fee3c64d2-01dd-4111-abc5-fb2af0867c00%2Fca35b65e-d438-439e-815b-096fda764f53%2F7ln72rs_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Probability Distribution Completion Exercise**
To ensure this probability distribution is valid, fill in the missing probability.
| x | 3 | 6 | 9 | 12 | 15 | 18 |
|-----|------|------|------|------|------|------|
| P(x)| 0.05 | 0.14 | 0.23 | 0.49 | 0.05 | ? |
**Question:** What is the missing probability?
*(Type an integer or a decimal.)*
**Explanation:**
A probability distribution is valid if the sum of all probabilities equals 1. Here, you need to calculate the missing probability for x = 18.
Start by summing the probabilities provided:
\[ 0.05 + 0.14 + 0.23 + 0.49 + 0.05 = 0.96 \]
To find the missing probability:
\[ 1 - 0.96 = 0.04 \]
Thus, the missing probability P(18) = 0.04.
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