Question 933290
you would take route B.


with route A, the probability of getting there in under 35 minutes is equal to .047.


with route B, the probability of getting there in under 35 minutes is equal to .16.


the calculations are as follows:


z1 = z factor for route A.
z2 = z factor for route B.


z1 = (35-40)/3 = -5/3 = -1.67


z2 = (35-40)/5 = -1


looking in the z-score tables, the probability of getting a z-score less than -1.67 is equal to .047 for route A and the probability of getting a z-score less than -1 is .16 for route B.


route A has a smaller standard deviation which makes it more reliable in that the average times will be more consistent.


route B has a larger standard deviation which make it less reliable in that the average times will be less consistent.


the larger standard deviation in route B works in your factor because there is a higher chance you will get there in less than 35 minutes using route B than when using route A.


go with route B.


your chances aren't good either way, but they're better with route B than with route A.