0, slsawhere. 10. DETAILS PREVIOUS ANSWERS WACKERLYSTAT7 5.3.033. MY NOTES ASK YOUR TEACHER Suppose that Y, is the total time between a custormer's arrival in the store and departure from the service...


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0, slsawhere.<br>10.<br>DETAILS<br>PREVIOUS ANSWERS<br>WACKERLYSTAT7 5.3.033.<br>MY NOTES<br>ASK YOUR TEACHER<br>Suppose that Y, is the total time between a custormer's arrival in the store and departure from the service window, Y, is the time spent in line before reaching the window, and the joint density of these variables<br>is<br>lyy,) = eY1, Os y2 s V1 < o,<br>(0, elsewhere.<br>(a) Find the marginal density function for Y,<br>f,(y) -<br>. where y, 2<br>Find the marginal density function for Y,.<br>f,(v,) -<br>where y, 2<br>(b) what is the conditional density function of Y, given that Y, = y,? Be sure to specify the values of y, for which this conditional density Is defined.<br>where<br>(c) What is the conditional density function of Y, given that Y, = y,? Be sure to specify the values of y, for which this conditional density is defined.<br>where<br>(d) Is the condiliorial densily lunclion (y,ly) thal you oblainexd in parl (b) the sarre as the margirial densily luntlion /,(r,) found in parl (a)?<br>The condilional and marginal density functions are nat the same.<br>O The conditional and marginal density functions are the same.<br>9.<br>DETAILS<br>WACKERLYSTAT7 5.3.029.<br>MY NOTES<br>ASK YOUR TEACHER<br>PRACTICE ANOTHER<br>Suppose that Y, and Y, are unifomly distributed over the triangle shaded in the accompanying figure.<br>(0, 1)<br>(-1, 0)<br>(1, 0)<br>y,<br>(a) Find the marginal density function for Y,.<br>f,v,) =<br>,where<br>Find the marginal derisity function for Y<br>2) =<br>where<br>(b) Find P<br>(Enter your probability as a fraction.)<br>Need Help? Read it Watch It<br>

Extracted text: 0, slsawhere. 10. DETAILS PREVIOUS ANSWERS WACKERLYSTAT7 5.3.033. MY NOTES ASK YOUR TEACHER Suppose that Y, is the total time between a custormer's arrival in the store and departure from the service window, Y, is the time spent in line before reaching the window, and the joint density of these variables is lyy,) = eY1, Os y2 s V1 < o,="" (0,="" elsewhere.="" (a)="" find="" the="" marginal="" density="" function="" for="" y,="" f,(y)="" -="" .="" where="" y,="" 2="" find="" the="" marginal="" density="" function="" for="" y,.="" f,(v,)="" -="" where="" y,="" 2="" (b)="" what="" is="" the="" conditional="" density="" function="" of="" y,="" given="" that="" y,="y,?" be="" sure="" to="" specify="" the="" values="" of="" y,="" for="" which="" this="" conditional="" density="" is="" defined.="" where="" (c)="" what="" is="" the="" conditional="" density="" function="" of="" y,="" given="" that="" y,="y,?" be="" sure="" to="" specify="" the="" values="" of="" y,="" for="" which="" this="" conditional="" density="" is="" defined.="" where="" (d)="" is="" the="" condiliorial="" densily="" lunclion="" (y,ly)="" thal="" you="" oblainexd="" in="" parl="" (b)="" the="" sarre="" as="" the="" margirial="" densily="" luntlion="" ,(r,)="" found="" in="" parl="" (a)?="" the="" condilional="" and="" marginal="" density="" functions="" are="" nat="" the="" same.="" o="" the="" conditional="" and="" marginal="" density="" functions="" are="" the="" same.="" 9.="" details="" wackerlystat7="" 5.3.029.="" my="" notes="" ask="" your="" teacher="" practice="" another="" suppose="" that="" y,="" and="" y,="" are="" unifomly="" distributed="" over="" the="" triangle="" shaded="" in="" the="" accompanying="" figure.="" (0,="" 1)="" (-1,="" 0)="" (1,="" 0)="" y,="" (a)="" find="" the="" marginal="" density="" function="" for="" y,.="" f,v,)=",where" find="" the="" marginal="" derisity="" function="" for="" y="" 2)="where" (b)="" find="" p="" (enter="" your="" probability="" as="" a="" fraction.)="" need="" help?="" read="" it="" watch="">

Jun 05, 2022
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