(a) A random variable X takes values between 0 and o with a cumulative distribution function, F(x) = A + Be* ;0


(a) A random variable X takes values between 0 and o with a cumulative distribution<br>function, F(x) = A + Be* ;0 <x <o. (i) Find the values of A and B, (ii) What is<br>P(1<x< 2)? (iii)Construet the probability density function, and (iv) What is P(x = 2)?<br>(b) The following data represent the lifetimes (in hours) of a sample of 12 transistors:<br>33, 49, 52, 45, 55, 36, 56, 57, 37, 55, 40, 59.<br>From these data construet 3 (three) classes or groups and show: (i) frequeney distribution,<br>(ii) relative frequency and (iii) cumulative frequency.<br>

Extracted text: (a) A random variable X takes values between 0 and o with a cumulative distribution function, F(x) = A + Be* ;0 <>< 2)?="" (iii)construet="" the="" probability="" density="" function,="" and="" (iv)="" what="" is="" p(x="2)?" (b)="" the="" following="" data="" represent="" the="" lifetimes="" (in="" hours)="" of="" a="" sample="" of="" 12="" transistors:="" 33,="" 49,="" 52,="" 45,="" 55,="" 36,="" 56,="" 57,="" 37,="" 55,="" 40,="" 59.="" from="" these="" data="" construet="" 3="" (three)="" classes="" or="" groups="" and="" show:="" (i)="" frequeney="" distribution,="" (ii)="" relative="" frequency="" and="" (iii)="" cumulative="">

Jun 03, 2022
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