A statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between 47.0 and 57.0 minutes. Find the probability that a given class period runs between 51.25 and 51.5 minutes.

0.025 = 2.5% probability that a given class period runs between 51.25 and 51.5 minutes.

Step-by-step explanation:

Uniform probability distribution:

An uniform distribution has two bounds, a and b.

The probability of finding a value between c and d is:

Uniformly distributed between 47.0 and 57.0 minutes.

This means that

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

0.025 = 2.5% probability that a given class period runs between 51.25 and 51.5 minutes.

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step-by-step explanation: