Answer:
10% probability that a given class period runs between 51.25 and 51.75 minutes.
Step-by-step explanation:
An uniform probability is a case of probability in which each outcome is equally as likely.
For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.
The probability of finding a value X between c and d, d greater than c, is given by the following formula:
![P(c \leq X \leq d) = \frac{d-c}{b-a}](https://tex.z-dn.net/?f=P%28c%20%5Cleq%20X%20%5Cleq%20d%29%20%3D%20%5Cfrac%7Bd-c%7D%7Bb-a%7D)
Uniformly distributed between 49 and 54 minutes
This means that ![b = 54, a = 49](https://tex.z-dn.net/?f=b%20%3D%2054%2C%20a%20%3D%2049)
Find the probability that a given class period runs between 51.25 and 51.75 minutes.
![P(51.25 \leq X \leq 51.75) = \frac{51.75 - 51.25}{54 - 49} = 0.1](https://tex.z-dn.net/?f=P%2851.25%20%5Cleq%20X%20%5Cleq%2051.75%29%20%3D%20%5Cfrac%7B51.75%20-%2051.25%7D%7B54%20-%2049%7D%20%3D%200.1)
10% probability that a given class period runs between 51.25 and 51.75 minutes.