Question #200702

The average travel time from your residence to your school is 35 minutes with a standard deviation of 10 minutes. If you want to be 99% certain that you will not be late for first 8:00 am class, what is the latest time you should leave home?


1
Expert's answer
2021-05-31T15:18:13-0400

P(Z<z)=0.99.P(Z<z)=0.99.

z=2.326.z=2.326.

x3510=2.326.\frac{x-35}{10}=2.326.

x=2.32510+35=58.25.x=2.325*10+35=58.25.

The latest time you should leave home: 8:0058.25=7:01.757:02.8:00-58.25=7:01.75\approx7:02.



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