For two events $R\,$ and $S$ ,

$\cap S) = x$ , $\cap S') = 0.18$ , $\cap S) = 0.28$ , $\cap S') = y$

Write down an expression for $y\,$ in terms of $x$ .

Given that $P(R∣S)=P(R)P(R\mid S)=P(R)$ , show that $x^{2} - 0.54x + 0.0504 = 0$ .

Given also that $P (R) < 0.5$ , find the value of $x\,$ and the value of $y$ .

For two events $R\,$ and $S$ ,

$\cap S) = x$ , $\cap S') = 0.18$ , $\cap S) = 0.28$ , $\cap S') = y$

Write down an expression for $y\,$ in terms of $x$ .

Given that $P(R∣S)=P(R)P(R\mid S)=P(R)$ , show that $x^{2} - 0.54x + 0.0504 = 0$ .

Given also that $P (R) < 0.5$ , find the value of $x\,$ and the value of $y$ .

2 Statistics

2 Statistics Questions