Answer:
[tex]\frac{2}{5}[/tex]
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 or equal is given by the following formula.
[tex]P(X \leq x) = \frac{x - a}{b-a}[/tex]
The amount of time it takes Jolyn to wait in line at the bank is continuous and uniformly distributed between 9 minutes and 19 minutes.
This means that [tex]a = 9, b = 19[/tex]
We know that it takes less than 14 minutes
This means that b = 14.
What is the probability that it takes Jolyn less than 11 minutes given that it takes less than 14 minutes for her to wait in line at the bank?
[tex]P(X \leq 11) = \frac{11 - 9}{14 - 9} = \frac{2}{5}[/tex]
