In one of his Subsidiaries, sheltron, gasoline is stocked in a bulk tank each week. Let x denote the propertion of the tank's capacity that is Stocked in each week and let Y denote the proportion of the tank" capacity that is Sold

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Chapter1: Combinatorial Analysis
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In
n one of his Subsidiaries, sheltron,
gasoline is stocked in a bulk tank each week.
Let x denote the proportion of the tank's Capacity
that is Stocked in each week and Let ĭ denote
the proportion of the tank" capaci ty that is Sold
in the Same week. Note that the gas sta tion
cannot Sell more than what was Stocked in
each week, whichimplies that the Value
of Y Cannot exceed the Value of X. A
Possible joint Pdf of x and Y is qiven by
fxy(x4)=D3X,0LYSX4.
☺using the method of transformation, find the
Probabilitydensity funltion of Z =|-X, the.
Proportion of the tank's capaccity that is not
Stocked in each week.
BWhat is the pobability that more than 20%
of the tank is not filled for the week?
Transcribed Image Text:In n one of his Subsidiaries, sheltron, gasoline is stocked in a bulk tank each week. Let x denote the proportion of the tank's Capacity that is Stocked in each week and Let ĭ denote the proportion of the tank" capaci ty that is Sold in the Same week. Note that the gas sta tion cannot Sell more than what was Stocked in each week, whichimplies that the Value of Y Cannot exceed the Value of X. A Possible joint Pdf of x and Y is qiven by fxy(x4)=D3X,0LYSX4. ☺using the method of transformation, find the Probabilitydensity funltion of Z =|-X, the. Proportion of the tank's capaccity that is not Stocked in each week. BWhat is the pobability that more than 20% of the tank is not filled for the week?
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