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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
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.
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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