Continuing from the previous question #8, a random variable \( X \) has pdf:\[ f(x) = -\frac{3}{40}x + \frac{1}{5}, \quad 3 < x \leq 5. \]Find the standard deviation of \( X \). Express your answer accurate to three decimal places.- ○ 0.575- ○ 0.381- ○ 0.446- ○ something elseNo graphs or diagrams are present in this image.

It is given that the random variable X with pdf isf(x) = (3/40)x + (1/5), 3 ≤ x ≤ 5

Answered: Continuing from the previous question…

A First Course in Probability (10th Edition)

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Author:Sheldon Ross

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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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Continuing from the previous question #8, a random variable X has pdf: f(x)=x+1, 3<*<5. Find the standard deviation of X. Express your answer accurate to the three decimal places. O 0.575 O 0.381 O 0.446 O something else