Answer:
0.025 = 2.5% probability that a given class period runs between 51.5 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 that we find a value X lower than x is between c and d is given by the following formula
[tex]P(c \leq X \leq d) = \frac{d - c}{b-a}[/tex]
For this problem, we have that:
[tex]a = 47, b = 57, c = 51.5, d = 51.75[/tex]. So
[tex]P(c \leq X \leq d) = \frac{d - c}{b-a}[/tex]
[tex]P(51.5 \leq X \leq 51.75) = \frac{51.75 - 51.5}{57 - 47} = 0.025[/tex]
0.025 = 2.5% probability that a given class period runs between 51.5 and 51.75 minutes.
