SOLUTION: A particular professor never dismisses class early. Let x denote the amount of time past the hour (minutes) that elapses before the professor dismisses class. Suppose that x has a

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Question 511531: A particular professor never dismisses class early. Let x denote the amount of time past the hour (minutes) that elapses before the professor dismisses class. Suppose that x has a uniform distribution on the interval from 0 to 10 min. The density curve is shown in the following figure.
(a) What is the probability that at most 4 min elapse before dismissal?
(b) What is the probability that between 3 and 7 min elapse before dismissal?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A particular professor never dismisses class early. Let x denote the amount of time past the hour (minutes) that elapses before the professor dismisses class. Suppose that x has a uniform distribution on the interval from 0 to 10 min. The density curve is shown in the following figure.
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base of distribution: 10
height of distribution: 1/10
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(a) What is the probability that at most 4 min elapse before dismissal?
P(0<= x <=4) = base* height = 4*(1/10) = 2/5
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(b) What is the probability that between 3 and 7 min elapse before dismissal?
P(3<= x <=7) = base*height = 4*(1/10) = 2/5
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Cheers,
Stan H.
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