My Math Forum Joint probability density question2:

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 November 26th, 2017, 06:06 AM #1 Member   Joined: Jan 2016 From: Blackpool Posts: 97 Thanks: 2 Joint probability density question2: A drinks machine has a random amount Y (in gallons) in supply at the beginning of a given day and dispenses a random amount X during the day. It is not resupplied during the day and so X ≤ Y . The joint pdf is f(X,Y)=0.5 0
 November 26th, 2017, 10:28 AM #2 Senior Member     Joined: Sep 2015 From: USA Posts: 2,093 Thanks: 1087 $f_X(x) = \displaystyle \int_x^2 ~(0.5)~dy = 1 - \dfrac x 2$ $P[X < 0.5] = \displaystyle \int_0^{0.5}~1-\dfrac x 2 ~dx = \dfrac {7}{16}$ Thanks from Jaket1

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