Question

Suppose that waiting times in a medical office are continuously and uniformly distributed between 1 and 13 minutes.
(a) what is the probability of waiting exactly 9 minutes?
(b) what is the standard deviation of the waiting time?

Answer 1

i guess the first one is zero, since it is a continuous distribution

Answer 2

standard deviation is square root of variance, which if i remember correctly is \(\frac{b-a}{\sqrt{12}}\)

Answer 3

in your case \[\frac{13-1}{\sqrt{12}}=\frac{12}{\sqrt{12}}=\sqrt{12}\]