cstroT 79 (5 points) The shuttle bus stops at your dorm once per 15 minutes. If

Question

cstroT 79 (5 points) The shuttle bus stops at your dorm once per 15 minutes. If you arrive at the shuttle stop and have just missed the last shuttle, then you have to wait 15 minutes for the next one. If you arrive at the stop at the same time as the shuttle, then you can board immediately and you wait 0 minutes. If you arrive and the shuttle is nowhere in sight, then you do not know how long you will have to wait. Therefore, your waiting time for the next shuttle is uniformly distributed over the interval 0-15. If you arrive at the shuttle stop and the shuttle is not there, what is the probability that your wait time will be between 3.4 and 9.6 minutes? Round your answer to TWo decimal places of accuracy. Your Answer: Answer Save

Explanation / Answer

as wait time is uniformly distributed from 0 to 15 minutes

therefore probability that your wait time is between 3.4 and 9.6 minutes =P(3.4<X<9.6)=(9.6-3.4)/15=0.41

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