Question 220381
The bus you take every morning is equally likely to be anywhere from 2 minutes early to 15 minutes late. What is the probability that the bus is more than five minutes late? 
-------------------------------
The range is 15--2 = 17 minutes.
6 sigma covers the range
So, 6 sigma = 17
sigma = 17/6
------------
The middle value is 9 minutes.
---------------------------------------
Find the z-score of 5:
z(5) = (5-9)/(17/6) = -24/17
-----------------------
P(x>5) = P(z>(-24/17)) = 0.9210
=======================================
Cheers,
Stan H.