- #1

- 3

- 0

I understand that the cdf of this function is F(x) = {0 for x<0}, {x for 0≤x≤10}, and {1 for x>10}.

This says that the probability is 1 that x≤10, or equivalently that x∈[0,10], right? So does this mean that the bus definitely arrived between 0 and 10 minutes? This seems counter-intuitive, since at any given moment Al was waiting, the probability that the bus would show up was 1/10. To me, this doesn't seem to guarantee that the bus would

*have to*show up at

*some*time in that interval.

The probability laws guarantee that the bus will come within 10 minutes, but it doesn't seem right to me. Am I understanding this incorrectly?