Answer:
73.33% probability that the time will be at most 15 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 given by the following formula.
[tex]P(X \leq x) = \frac{x - a}{b-a}[/tex]
Uniform distribution between 4 and 19 minutes.
This means that [tex]a = 4, b = 19[/tex]
Find the probability that the time will be at most 15 minutes.
[tex]P(X \leq x) = \frac{x - a}{b-a}[/tex]
[tex]P(X \leq 15) = \frac{15 - 4}{19 - 4} = 0.7333[/tex]
73.33% probability that the time will be at most 15 minutes.
