suppose that the travel time from your home to your office is normally distributed with mean...
suppose that the travel time from your home to your office is normally distributed with mean 40 min and standard deviation 7 min. if you want to be 90% certain that you will not be late for an appointment at 1, what is the latest time that you should leave home?
Homework Answers
Given that,
mean = 
= 40
standard deviation = 
= 7
Using standard normal table,
P(Z < z) = 90%
= P(Z < z) = 0.90
= P(Z < 1.28) = 0.90
z = 1.28
Using z-score formula
x= z *
+
x= 1.28 *7+40
x= 48.96
The latest time that you should leave home is 48.96
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