What is the probability that x is less than 3, given the function below? -()- -x/3 ҳ2 0 f(x) = le 3 0.1226 0.3679 0.6321 0.8774 O O O
What is the probability that x is less than 3, given the function below? -()- -x/3 ҳ2 0 f(x) = le 3 0.1226 0.3679 0.6321 0.8774 O O O
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
![**Question:**
What is the probability that \( x \) is less than \( 3 \), given the function below?
\[ f(x) = \left(\frac{1}{3}\right)e^{-x/3}, \, x \geq 0 \]
**Options:**
- \( \circ \, 0.1226 \)
- \( \circ \, 0.3679 \)
- \( \circ \, 0.6321 \)
- \( \circ \, 0.8774 \)
**Explanation:**
The image displays a multiple-choice question asking to calculate the probability that a random variable \( x \), which follows the given exponential distribution function, is less than 3. The function \( f(x) \) is defined for \( x \geq 0 \), and is characteristic of an exponential distribution with a mean of 3.
The choice selected is \( 0.1226 \), which is marked incorrect.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F96e0847f-4973-4b99-ac1e-7e94417321c7%2Ff773c957-70ee-4cfc-bbaa-e14e2b4a8f4c%2Fwbso36h_processed.png&w=3840&q=75)
Transcribed Image Text:**Question:**
What is the probability that \( x \) is less than \( 3 \), given the function below?
\[ f(x) = \left(\frac{1}{3}\right)e^{-x/3}, \, x \geq 0 \]
**Options:**
- \( \circ \, 0.1226 \)
- \( \circ \, 0.3679 \)
- \( \circ \, 0.6321 \)
- \( \circ \, 0.8774 \)
**Explanation:**
The image displays a multiple-choice question asking to calculate the probability that a random variable \( x \), which follows the given exponential distribution function, is less than 3. The function \( f(x) \) is defined for \( x \geq 0 \), and is characteristic of an exponential distribution with a mean of 3.
The choice selected is \( 0.1226 \), which is marked incorrect.
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