The random variable \(G\) has a continuous uniform distribution over the interval \([ - 3,15 ]\)
Calculate \(\mathrm { P } ( G > 12 )\)
The random variable \(H\) has a continuous uniform distribution over the interval [2, w] The random variables \(G\) and \(H\) are independent and \(\mathrm { E } ( H ) = 10\)
Show that the probability that \(G\) and \(H\) are both greater than 12 is \(\frac { 1 } { 16 }\)
The random variable \(A\) is the area on a coordinate grid bounded by
$$\begin{aligned}
& y = - 3
& y = - 4 | x | + k
\end{aligned}$$
where \(k\) is a value from the continuous uniform distribution over the interval [5,10]