Statistics help, please
Let Y1, Y2 denote the proportions of 2 different types of components in a sample from a mixture of chemicals used as an insecticide. Suppose that Y1 and Y2 have the joint density function given by
$$f(y1, y2)=\begin{cases}2~~if 0\leq y1\leq 1; 0\leq y2\leq 1; 0\leq y1+y2\leq 1\0 ~~elsewhere\end{cases}$$
a) $P(Y1\leq 3/4,Y2\leq 3/4)$
b)$P(Y1\leq 1/2,Y2\leq 1/2)$

Question

Statistics help, please
Let Y1, Y2 denote the proportions of 2 different types of components in a sample from a mixture of chemicals used as an insecticide. Suppose that Y1 and Y2 have the joint density function given by 
$$f(y1, y2)=\begin{cases}2~~if 0\leq y1\leq 1; 0\leq y2\leq 1; 0\leq y1+y2\leq 1\0 ~~elsewhere\end{cases}$$
a) $P(Y1\leq 3/4,Y2\leq 3/4)$
b)$P(Y1\leq 1/2,Y2\leq 1/2)$

ganeshie8 · Answer

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ganeshie8 · Answer

For part a, you just need to find below area in blue and multiply by 2 : 
|dw:1455163362867:dw|