Say I have the following data:
There is a $0.0036 (0.36\%)$ probability $X$ will get $5$ years in prison if he talks to the police.
There is a $0.0045 (0.45\%)$ probability $X$ will get $3.75$ years in prison if he doesn't talk to the police.
How can I find the expected mean sentence durations $X$ will have to spend in prison? (regardless if he talks to the police or not)
My initial thought was to use $EV = \sum P(X_{i}) X_{i}$, but I get some weird values when I calculate the years this way.