- Answer all the questions.
The discrete random variable \(X\) has the probability function
$$\mathrm { P } ( X = x ) = \left\{ \begin{array} { c c }
c ( 7 - 2 x ) & x = 0,1,2,3
k & x = 4
0 & \text { otherwise }
\end{array} \right.$$
where \(c\) and \(k\) are constants.
- Show that \(16 c + k = 1\)
- Given that \(\mathrm { P } ( X \geq 3 ) = \frac { 5 } { 8 }\) find the value of \(c\) and the value of \(k\).
[0pt]
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