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In: Statistics and Probability
A statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed...
A statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between 48.0 and 53.0 minutes. Find the probability that a given class period runs between 50.25 and 51.25 minutes. Find the probability of selecting a class that runs between 50.25 and 51.25 minutes.
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SOLUTION:
From given data,
A statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between 48.0 and 53.0 minutes. Find the probability that a given class period runs between 50.25 and 51.25 minutes. Find the probability of selecting a class that runs between 50.25 and 51.25 minutes.
The lengths of her classes are uniformly distributed between 48.0 and 53.0 minutes.
X has uniform distribution with parameters
= 48
= 53
The probability that a given class period runs between 50.25 and 51.25 minutes.
P(50.25 < 
< 51.25 ) = (50.25 -
51.25 ) / ( - )
P(50.25 < < 51.25 ) = (50.25 -
51.25 ) / (53 - 48)
P(50.25 < < 51.25 ) = - 1 /
5
P(50.25 < < 51.25 ) = -
0.2
orchestra answered 1 year agoRelated Solutions
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