Chaya Galloway

2021-05-02

Let X and Y be jointly continuous random variables wth joint PDF is given by:

${f}_{X,Y}(x,y)=2$ where $0\le y\le x\le 1$

Find$P(X\ge \frac{1}{2})$ .

Find

dieseisB

Skilled2021-05-03Added 85 answers

Let us find the value of $P(X\ge \frac{1}{2})$ .

$P(X\ge \frac{1}{2})={\int}_{\frac{1}{2}}^{1}2dx$

$=[2x{]}_{\frac{1}{2}}^{1}$

=2-1

=1

Hence, the required value of$P(X\ge \frac{1}{2})=1$

=2-1

=1

Hence, the required value of