Answer:
40% 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
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]
For this problem, we have that:
Uniformly distributed between 9 minutes and 19 minutes, which means that [tex]a = 9, b = 19[/tex]
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
Given that it takes less than 14 minutes, so [tex]b = 14[/tex]
This is [tex]P(X \leq 11)[/tex]
So
[tex]P(X \leq 11) = \frac{11 - 9}{14 - 9} = 0.4[/tex]
40% 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
