G 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 51.25 and 51.5 minutes

0.025

Step-by-step explanation:

Given : A statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between interval : [48.0 minutes, 53.0 minutes]

Let x be the lengths of her classes that are uniformly distributed between interval : [48.0 minutes, 53.0 minutes].

The probability density function for the given situation  :-

The probability that a given class period runs between 51.25 and 51.5 minutes is given by :-

Hence, the probability that a given class period runs between 51.25 and 51.5 minutes is 0.025 .

you didn't give me the choices, so i will just give you the graph so you can look at your choices and choose the right one.

5

step-by-step explanation: