Suppose you record how long it takes you to get to school over many months and discover that the one-way travel times (including time to find parking and walk to your classroom), in minutes, are approximately normally distributed with a mean of 23.88 minutes and standard deviation of 4 minutes.
If your first class starts at 10am and you leave at 9:30am, what is the probability that you will be late for class? (Make sure to draw a picture for this one.)
If your first class starts at 10am, what is the latest time you should leave everyday so that you are on time at least 90% of the time?
(i)
(ii)
Ans : 9.41 am
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