Directions: Find (by inspection) the expected value and standard deviation of the normal random variable with the density function given below. f(x) = 1 2√/2πT 1. Expected Value: E(X) 2. Standard Deviation: Std(X) -1/[(x-20)/2]²

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Directions: Find (by inspection) the expected value and standard
deviation of the normal random variable with the density function
given below.
f(x)
=
1
2√/2πT
1. Expected Value: E(X)
2. Standard Deviation: Std(X)
-1/[(x-20)/2]²
Transcribed Image Text:Directions: Find (by inspection) the expected value and standard deviation of the normal random variable with the density function given below. f(x) = 1 2√/2πT 1. Expected Value: E(X) 2. Standard Deviation: Std(X) -1/[(x-20)/2]²
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