SOLUTION: The bus you take every morning is equally likely to be anywhere from 2 minutes early to 15 minutes late. What is the probability that the bus is more than five minutes late?
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Question 220381: The bus you take every morning is equally likely to be anywhere from 2 minutes early to 15 minutes late. What is the probability that the bus is more than five minutes late?
I put 10/15 and got it wrong. The teacher's response was that the denominator was wrong. How so? Please explain. Found 2 solutions by stanbon, jim_thompson5910:Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! The bus you take every morning is equally likely to be anywhere from 2 minutes early to 15 minutes late. What is the probability that the bus is more than five minutes late?
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The range is 15--2 = 17 minutes.
6 sigma covers the range
So, 6 sigma = 17
sigma = 17/6
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The middle value is 9 minutes.
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Find the z-score of 5:
z(5) = (5-9)/(17/6) = -24/17
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P(x>5) = P(z>(-24/17)) = 0.9210
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Cheers,
Stan H.
There are 15-5=10 minutes in the interval from 5 minutes to 15 minutes. Also, from 2 minutes to 15 minutes, there are 13 minutes. So the chances of the bus being more than 5 minutes late is (since there are 10 instances out of 13 that it could be 5 minutes or more late). It looks like you have the right idea for the numerator, but you just forgot to do the same for the denominator.
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