## A statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between 46.0 and 56.0 minutes. F

Question

A statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between 46.0 and 56.0 minutes. Find the probability that a given class period runs between 51.25 and 51.5 minutes.

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2021-10-14T01:16:32+00:00
2021-10-14T01:16:32+00:00 1 Answer
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## Answers ( )

Answer:0.025

Step-by-step explanation:Given that a statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between 46.0 and 56.0 minutes

Let X be the length of the class of statistics professor

X is U(46,56)

We are to find the probability that a given class period runs between 51.25 and 51.5 minutes.

The pdf of X is =

Using this we can find probability using integration

=