Let X and Y be jointly continuous random variables wth joint PDF is given by: f_{X,Y}(x,y)=2 where 0 \leq y \leq x \leq 1 Find P(X\geq \frac{1}{2}).

Chaya Galloway

Chaya Galloway

Answered question

2021-05-02

Let X and Y be jointly continuous random variables wth joint PDF is given by:
fX,Y(x,y)=2 where 0yx1
Find P(X12).

Answer & Explanation

dieseisB

dieseisB

Skilled2021-05-03Added 85 answers

Let us find the value of P(X12).
P(X12)=1212dx
=[2x]121
=2-1
=1
Hence, the required value of P(X12)=1

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