SOLUTION: The time a group of high school students arrive home from school each day was found to be normally distributed. The mean time was 3:15 PM and the times had a standard deviation of
Algebra ->
Probability-and-statistics
-> SOLUTION: The time a group of high school students arrive home from school each day was found to be normally distributed. The mean time was 3:15 PM and the times had a standard deviation of
Log On
Question 41886: The time a group of high school students arrive home from school each day was found to be normally distributed. The mean time was 3:15 PM and the times had a standard deviation of 15 minutes. What is the probability that a student chosen at random arrives home from school before 2:30 PM? Answer by fractalier(6550) (Show Source):
You can put this solution on YOUR website! Well 2:30 pm represents three sigmas below the mean...so look up on your normal distribution table a z-score of -3.00 and find the probability of .0013.
Thus the probability is .13% that a student chosen at random arrives before 2:30 pm.