Like Ross 69 Let X and Y Be Jointly Continuous Rand
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9. Let Xand Ybe jointly continuous random variables with joint PDF -(2x+3y) f(x,y) = {6e x,y 20 otherwise (a) Are X and Y independent? (b) Find E[YIX > 2] and Var[YIX-2]
Related Question
Let x and y be discrete random variables with joint pdf f(x, y) = 4/(5xy) if x= 1,2 and y= 2,3 and zero othwerwise (a) determine E(Y | x) (b) determine Var(Y | x)
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in discussion. The F one government was given that there's four divided by five multiplied by one multiplied by two. This is the first report about it back then F one homa three skill and that is more divided by five multiplied by one multiplied by three. That is close to four divided by 15. F two comma two. This is given four divided by five, multiplied by two, multiplied by two. That is the first reported by likewise F two comma three is given that there's four divided by five, multiplied by two, multiplied by 3 to 4 divided. These values are given. Okay? Now if we calculate F X equals to one. So this is the first F one comma two plus F one comma solving this weekend. This is divided by 20 plus four divided by 15 which is close to two divided like bicycle, calculate fx fy calls to two. Okay we hear calculate F Y equals two and X equals to one. This is equals to F X equals to one. This is F X equals to one. And why calls troop two divided by Air force X equals to one. So that's why level equals to 0.6 Are personal. Likewise people can play F We have Y equals footprint and X equals to one there. This is as equals to one. White was 23 and divided by this is F X equals two months. So I'm doing this we get this value and 0.4. Likewise we will calculate for why calls to this X equals to X equals two. So this is this value will be goes to F 22 plus F two comma three. That is equal to one divided factory. And here f now we will calculate by close to two and exit pose. So this value will be close to what have X equals to two. Coma White goes through two divided by F X. It was too so that is it goes to zero point like my civil calibrate when F White world's 23 and X equals two to the X equals to two Y. Close to three provided by airport. Mexico's too solving this weekend to send to your point. Now in the first part we have to open it E. Or Y divided by S. So this will be close to two multiplied but therefore why it goes to provided by X plus three and therefore that's why it goes to three divided by X. To solving this value we get E. Y divided by X. This is equals to one and this is equal to what after calculating this is two multiplied by 0.6 plus three, multiplied by zero point. For this value was 2.4. And here if you put by divided by S. E. Y divided by X. This is equals to what this is equals to two pacific. Was solving this value we get two multiplied by 0.6 plus three multiplied by 0.4. That is close to two points. This is the answer for that. Now the B but we have to calculate the variance. So in the b part was in the formula for the variance variance of Y divided by X. They said it was too two minus E. Or Y divided by X. And it's fully square multiplied by. Therefore why it goes to two divided by ads plus three minus E. Y divided by X. And its holy square. And this is also to minus E minus Y divided by X. And this and this multiplied by Air Force Y. Because three divided pilots. So solving this value we get and the variance, this is why the values by X. This is equals to one. This value is two minus 2.4 and its holy square multiplied by this value is 0.6, that this is three minus 2.4 square multiplied by zero point solving this, we get this is zero point. And when the variance of Y divided by X. This is because that's what we will be close to one. This is again it goes to two minus 2.4 and this Holy square multiplied by this will be multiplied by the 0.6 plus, this is three minus 2.4. This holy square multiplied by. So this value is against your point. So this is these are the answers Okay here there's 0.24. This is the answer for this one and this is 0.2. This is the answer for that. This will be the answer for that. Thank you.
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