Life expectancy expected value
Calculus
Level
4
\[f(x)=\frac{\pi}{14400}x\sin\left(\frac{\pi}{120}x\right),\ \ 0<x<120\]
A life insurance actuary estimates probabilities of \(X\), a person's life expectancy, with the probability density function as described above.
According to this model, what is \(\lfloor \text{E}[X]\rfloor\)?
by
Andy Hayes