#1. If the function is continous see this.
(1) How would you solve the following: ?
(2) Suppose that the amount of time that a lightbulb works before burning itself out is exponentially distributed with mean ten hours. Suppose that a person enters the room in which the lightbulb is burning. If the person wants to work for hours, what is the probability that he will be able to complete his work without the bulb burning out? What if its not exponential.
Ok so I think for exponentially distribution. However, now I want to calculate .
I would think that this would equal .
When the distribution is not exponential, and you have no idea what the pdf is, then there's not much you can say except . But I don't see how that's really saying anything different to the (correct) probability statement that you gave ......