STA169 Statistics I

Statistics ITU Board 2080

The joint density function of two continuous random variables X and Y is f(x,y)=kxy 0<x<4 , 1<y<5 =0 otherwise a) Find the value of constant k. b) Find P(x 3,y<2) c) Find P(1<x<2 , 2<y<3)

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The joint density function of two continuous random variables X and Y is

f(x,y)=kxy 0<x<4 , 1<y<5

=0 otherwise

  • a) Find the value of constant k.

  • b) Find P(x>3,y<2)

  • c) Find P(1<x<2 , 2<y<3)

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