The joint density function of two continuous random variables X and Y is expressed below. Find: (a) the value of the constant c, (b) P(X > 3,Y < 4). (c) for the two possible solutions, only sketch the integration boundaries and write the integration equation for P(Y + 2X < 9). (cos(x) 15x54.3

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The joint density function of two continuous random variables X and Y is expressed
Q3 below. Find: (a) the value of the constant c, (b) P(X 2 3,Y < 4), (c) for the two
possible solutions, only sketch the integration boundaries and write the integration
equation for P(Y + 2X < 9).
cos(x)
y- 2
15xS4,3 s ys 5
f(x,y) =
otherwise
Transcribed Image Text:The joint density function of two continuous random variables X and Y is expressed Q3 below. Find: (a) the value of the constant c, (b) P(X 2 3,Y < 4), (c) for the two possible solutions, only sketch the integration boundaries and write the integration equation for P(Y + 2X < 9). cos(x) y- 2 15xS4,3 s ys 5 f(x,y) = otherwise
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