1 When a spinner is spun, the outcome is equally likely to be 1,2 or 3 . In a competition, the spinner is spun twice and the outcomes are added to give a total score \(T\).
- Show that the expectation of \(T\) is 4 .
- Find the variance of \(T\).
A competitor pays \(\pounds 1.50\) to enter the competition and receives \(\pounds X\), where \(X = 0.3 T\).
- Find the expectation of the competitor's profit.
- Find the variance of the competitor's profit.