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6) Determine whether P(x) =e x = {0, 1} is a valid probability mass function. Solution? The area under a probability function curve must equal 1. Noting that is a constant, we can factor it out of the integral dx = e* dx 1+e We know that S e* dx = e* e - 1 e +1 1 1+ele*} =le - 1] = e* dx We don't even need to get a calculator for this (although we could): it's clearly not equal to 1! Therefore, the function is not a valid probability mass function.

6) Determine whether P(x) =e x = {0, 1} is a valid probability mass function. Solution? The area under a probability function curve must equal 1. Noting that is a constant, we can factor it out of the integral dx = e* dx 1+e We know that S e* dx = e* e - 1 e +1 1 1+ele*} =le - 1] = e* dx We don't even need to get a calculator for this (although we could): it's clearly not equal to 1! Therefore, the function is not a valid probability mass function.

MATLAB: An Introduction with Applications
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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6) Determine whether P(x) =- x = {0, 1} is a valid probability mass function. 1+e Solution? The area under a probability function curve must equal 1. Noting that is a constant, we can factor it out of the integral dx =Se* dx 1+e 1+e 1+e Jo We know that fe* dx = e* 1 е — 1 1+ele*]} =ile – 1] = e +1 e* dx = + e We don't even need to get a calculator for this (although we could): it's clearly not equal to 1! Therefore, the function is not a valid probability mass function.
Transcribed Image Text:6) Determine whether P(x) =- x = {0, 1} is a valid probability mass function. 1+e Solution? The area under a probability function curve must equal 1. Noting that is a constant, we can factor it out of the integral dx =Se* dx 1+e 1+e 1+e Jo We know that fe* dx = e* 1 е — 1 1+ele*]} =ile – 1] = e +1 e* dx = + e We don't even need to get a calculator for this (although we could): it's clearly not equal to 1! Therefore, the function is not a valid probability mass function.
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