The time, in 100 hours, that a student uses her game console over a year is a random variable X with probability density function ( if 0


The time, in 100 hours, that a student uses her game console over a year is a random variable X with probability density function<br>( if 0 < х < 1<br>2 — ӕ if 1 < х <2<br>0 otherwise.<br>f(x) =<br>The<br>power (in number of kilowatt hours) expended by the student's game console each year is 48X² + 26. For these problems,<br>please ensure your answers are accurate to within 3 decimals.<br>Part a)<br>Find the mean amount of power expended by the student's game console per year.<br>Part b)<br>Find the variance of power expended by the student's game console per year.<br>

Extracted text: The time, in 100 hours, that a student uses her game console over a year is a random variable X with probability density function ( if 0 < х="">< 1="" 2="" —="" ӕ="" if="" 1="">< х=""><2 0="" otherwise.="" f(x)="The" power="" (in="" number="" of="" kilowatt="" hours)="" expended="" by="" the="" student's="" game="" console="" each="" year="" is="" 48x²="" +="" 26.="" for="" these="" problems,="" please="" ensure="" your="" answers="" are="" accurate="" to="" within="" 3="" decimals.="" part="" a)="" find="" the="" mean="" amount="" of="" power="" expended="" by="" the="" student's="" game="" console="" per="" year.="" part="" b)="" find="" the="" variance="" of="" power="" expended="" by="" the="" student's="" game="" console="" per="">

Jun 11, 2022
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