2. Let the probability density function of a continuous random variable X be | 1/2, —1

2. Let the probability density function of a continuous random variable X be<br>| 1/2, —1<х < 0,<br>fx (x) = { 1/4, 0< x < 2,<br>0,<br>otherwise.<br>Let Y<br>= X?. Let Fx.y(x, y) be the joint cumulative distribution function of<br>(X,Ү).<br>(a) Find the probability density function of Y.<br>(b) Find Fx,y(-1/2,4).<br>

Extracted text: 2. Let the probability density function of a continuous random variable X be | 1/2, —1<х>< 0,="" fx="" (x)="{" 1/4,="">< x="">< 2,="" 0,="" otherwise.="" let="" y="X?." let="" fx.y(x,="" y)="" be="" the="" joint="" cumulative="" distribution="" function="" of="" (x,ү).="" (a)="" find="" the="" probability="" density="" function="" of="" y.="" (b)="" find="">

Jun 07, 2022

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2. Let the probability density function of a continuous random variable X be | 1/2, —1

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