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Suppose X has an exponential distribution with mean equal to 13. Determine the following: (a) P(X > 10) (Round your answer to 3 decimal places.) (b) P(X> 20) (Round your answer to 3 decimal places.) (c) P(X < 30) (Round your answer to 3 decimal places.)

Suppose X has an exponential distribution with mean equal to 13. Determine the following: (a) P(X > 10) (Round your answer to 3 decimal places.) (b) P(X> 20) (Round your answer to 3 decimal places.) (c) P(X < 30) (Round your answer to 3 decimal places.)

A First Course in Probability (10th Edition)
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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Help me with this please, thanks :) 

### Exponential Distribution Problem **Problem Statement:** Suppose \( X \) has an exponential distribution with mean equal to 13. Determine the following: **Questions:** (a) \( P(X > 10) \) - (Round your answer to 3 decimal places.) (b) \( P(X > 20) \) - (Round your answer to 3 decimal places.) (c) \( P(X < 30) \) - (Round your answer to 3 decimal places.) (d) Find the value of \( x \) such that \( P(X < x) = 0.95 \). - (Round your answer to 2 decimal places.) **Answer Inputs:** (a) \[ \quad \] (b) \[ \quad \] (c) \[ \quad \] (d) \[ \quad \] **Explanation:** In problems (a) through (c), you are required to calculate probabilities for events related to the exponential distribution. In problem (d), you need to determine the value of \( x \) that corresponds to a cumulative probability of 0.95. Please take care to round your final answers to the specified number of decimal places.
Transcribed Image Text:### Exponential Distribution Problem **Problem Statement:** Suppose \( X \) has an exponential distribution with mean equal to 13. Determine the following: **Questions:** (a) \( P(X > 10) \) - (Round your answer to 3 decimal places.) (b) \( P(X > 20) \) - (Round your answer to 3 decimal places.) (c) \( P(X < 30) \) - (Round your answer to 3 decimal places.) (d) Find the value of \( x \) such that \( P(X < x) = 0.95 \). - (Round your answer to 2 decimal places.) **Answer Inputs:** (a) \[ \quad \] (b) \[ \quad \] (c) \[ \quad \] (d) \[ \quad \] **Explanation:** In problems (a) through (c), you are required to calculate probabilities for events related to the exponential distribution. In problem (d), you need to determine the value of \( x \) that corresponds to a cumulative probability of 0.95. Please take care to round your final answers to the specified number of decimal places.
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