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3 years ago

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A statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between 50.0 and 52.

0 minutes. Find the probability that a given class period runs between 51.25 and 51.5 minutes.

1 answer:

Free_Kalibri [48]3 years ago

3 0

Answer: 0.125

Step-by-step explanation:

Given: A statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed in interval (50,52).

∴ The probability density function of X will be :-

$f(x)=\dfrac{1}{b-a}=\dfrac{1}{52-50}=\dfrac{1}{2}$

The required probability will be:-

$P(51.25$

Hence, the probability that a given class period runs between 51.25 and 51.5 minutes =0.125

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