14 The discrete random variables \(X\) and \(Y\) can be modelled by the distributions
$$\begin{gathered}
X \sim \mathrm {~B} ( 40 , p )
Y \sim \mathrm {~B} ( 25,0.6 )
\end{gathered}$$
It is given that the mean of \(X\) is equal to the variance of \(Y\)
14
- Find the value of \(p\)
14 - \(\quad\) Find \(\mathrm { P } ( Y = 17 )\)