SOLUTION: The time it takes Claudia to drive to work is normally distributed with a mean of 49 minutes and a standard deviation of 8 minutes. What percentage of the time will it take her les

Algebra ->  Probability-and-statistics -> SOLUTION: The time it takes Claudia to drive to work is normally distributed with a mean of 49 minutes and a standard deviation of 8 minutes. What percentage of the time will it take her les      Log On


   

Question 377349: The time it takes Claudia to drive to work is normally distributed with a mean of 49 minutes and a standard deviation of 8 minutes. What percentage of the time will it take her less than 73 minutes to drive to work?
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
P%28T+%3C+73%29+=+P%28%28T-mu%29%2Fsigma+%3C+%28T+-+49%29%2F8+=+%2873+-+49%29%2F8+=+3%29%29. Then P(T < 73) = P(Z < 3) = 0.9987. Answer is 99.87%.