Suppose the random variable X represents the angle of a slice of pie. The angle X has a uniform distribution on the interval [0,90] What's the probability that a slice of pie will have an angle between 30 and 40degrees?
Since this is a uniform distribution, f(x) is 0 everywhere except $30<x<40$, where $f(x) = 1/(40-30) = 1/10$
Is the answer that simple?
I feel like I'm missing something as the size of the interval [0,90] doesn't seem to have any effect on the probability.
Thank you in advance