The times it takes runners to complete a certain marathon are normally distributed with a mean of 4.6 hours and a standard deviation of 1.1 hours. What is the time for a runner with a z-score of - 1.2?

Enter your answer, rounded to the nearest hundredth, in the box.

Answer: The time would be 3.28 hours for a z-score of - 1.2.

To find the time, all we need to do is use the equation for the z-score. Then, enter all the values we know and solve for the missing time.

Our equation is:

(Time - Mean) / Standard Deviation = z-Score

(x - 4.6) / 1.1 = - 1.2

x - 4.6 = - 1.32

x = 3.28 hours