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The probability density function for the continuous random variable X is f(x) = when x is between 2 and 4. What is the cumulative density function F(x)? x² O F(x): for x from 2 to 4. 12 O F(x): O F(x): 12 O F(x) = 1 for x from 2 to 4. = 12 4 12 2 for x from 2 to 4. for x from 2 to 4.

The probability density function for the continuous random variable X is f(x) = when x is between 2 and 4. What is the cumulative density function F(x)? x² O F(x): for x from 2 to 4. 12 O F(x): O F(x): 12 O F(x) = 1 for x from 2 to 4. = 12 4 12 2 for x from 2 to 4. for x from 2 to 4.

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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### Problem Statement The probability density function (pdf) for the continuous random variable \( X \) is \( f(x) = \frac{x}{6} \) when \( x \) is between 2 and 4. What is the cumulative density function (CDF) \( F(x) \)? ### Multiple Choice Options 1. \( F(x) = \frac{x^2}{12} \) for \( x \) from 2 to 4. 2. \( F(x) = \frac{x^2}{12} - \frac{4}{12} \) for \( x \) from 2 to 4. 3. \( F(x) = \frac{x^2}{12} - 2 \) for \( x \) from 2 to 4. 4. \( F(x) = 1 \) for \( x \) from 2 to 4.
Transcribed Image Text:### Problem Statement The probability density function (pdf) for the continuous random variable \( X \) is \( f(x) = \frac{x}{6} \) when \( x \) is between 2 and 4. What is the cumulative density function (CDF) \( F(x) \)? ### Multiple Choice Options 1. \( F(x) = \frac{x^2}{12} \) for \( x \) from 2 to 4. 2. \( F(x) = \frac{x^2}{12} - \frac{4}{12} \) for \( x \) from 2 to 4. 3. \( F(x) = \frac{x^2}{12} - 2 \) for \( x \) from 2 to 4. 4. \( F(x) = 1 \) for \( x \) from 2 to 4.
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