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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Parker 2 months 2021-10-14T01:16:32+00:00 1 Answer 0 views 0

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    2021-10-14T01:17:37+00:00

    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 = \frac{1}{56-46} =0.1, 46\leq x\leq 56

    Using this we can find probability using integration

    P(51.25\leq x\leq 51.5)

    =\int\limits^{51.5} _{51.25}  0.1 \, dx \\=0.1(51.5-51.25)\\= 0.025

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45:7+7-4:2-5:5*4+35:2 =? ( )