Find the Expected Value

question 254

Multiple Choice

Find the expected value.
-A bus arrives at a bus stop at 10 am, 10 minutes past ten, and 11.00 am. You arrive at the bus stop at random times between 10.00 am and 11.00 am every day, so all arrival times are equally likely.
Find your expected waiting time for the bus.
[Hint: Find the probability that you will arrive at the bus stop between 10.00 am and 10 minutes
Past ten and find your mean waiting time in that case. Then find the probability that you will arrive
At the bus stop between 10 minutes past ten and 11.00 am and find your mean waiting time in that
Case.]

• A)21.7 minutes
• B)15 minutes
• C)22.5 minutes
• D)43.3 minutes

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