Question

b) Find the constant c , if \( \mathrm{f}(\mathrm{x}) \) is a probability density function, where \( f(x)=c^{-\frac{1}{8} x^{2}+2 x} ;-\infty<x<\infty \). Hence find mean. .

Name: b) Find the constant c , if f(x) is a probability density function, where f(x)=c^-(1)/(8) x^2+2 x ;-∞<x<∞. Hence find mean. .
Uploaded: 2023-03-31T18:08:42-08:00
Duration: 1 min 46 s
Channel: Sri K
Description: b) Find the constant c , if f(x) is a probability density function, where f(x)=c^-(1)/(8) x^2+2 x ;-∞<x<∞. Hence find mean. .

          b) Find the constant c , if \( \mathrm{f}(\mathrm{x}) \) is a probability density function, where \( f(x)=c^{-\frac{1}{8} x^{2}+2 x} ;-\infty<x<\infty \). Hence find mean. .

Added by Shawn J.

Applied Statistics and Probability for Engineers

Douglas C. Montgomery, George C. Runger 5th Edition

Chapter 7

Instant Answer

Solved by Expert Sri K

03/31/2023

Step 1

Therefore, we need to solve: \[ \int_{-\infty}^{\infty} c e^{-\frac{1}{8}x^2 + 2x} \, dx = 1 \] Show more…

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b) Find the constant c , if \( \mathrm{f}(\mathrm{x}) \) is a probability density function, where \( f(x)=c^{-\frac{1}{8} x^{2}+2 x} ;-\infty<x<\infty \). Hence find mean. .