SOLUTION: At a local college, times for running the mile are approximately normally distributed with a mean of 4.5 minutes and a standard deviation of 0.3 minutes. What is the probability t

Algebra ->  Probability-and-statistics -> SOLUTION: At a local college, times for running the mile are approximately normally distributed with a mean of 4.5 minutes and a standard deviation of 0.3 minutes. What is the probability t      Log On


   



Question 581465: At a local college, times for running the mile are approximately normally distributed with a mean of 4.5 minutes and a standard deviation of 0.3 minutes. What is the probability that a randomly selected time will be less than 4 minutes?
Thanks again.

Answer by dfrazzetto(283) About Me  (Show Source):
You can put this solution on YOUR website!

mean = 4.5 minutes
P(x<4 minutes)
How many standard deviations?
(4-4.5)/(.3) = -.5/.3 = -1.6666666 = -1 2/3 std dev
z-score = -1.666666, p value = .0478
4.78%