Respuesta :
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:
[tex]P(c \leq X \leq d) = \frac{d-c}{b-a}[/tex]
Uniformly distributed between 49 and 54 minutes
This means that [tex]b = 54, a = 49[/tex]
Find the probability that a given class period runs between 51.25 and 51.75 minutes.
[tex]P(51.25 \leq X \leq 51.75) = \frac{51.75 - 51.25}{54 - 49} = 0.1[/tex]
10% probability that a given class period runs between 51.25 and 51.75 minutes.
