Answer :
Answer:
The probability that the loan process will take longer than 9 days is 0.6667.
Step-by-step explanation:
The probability that the application takes more than 9 days is given as [tex]P(x=9)=\dfrac{x_{max}-x}{x_{max}-x_{min}}[/tex]
Here
x_max=13
x_min=7
x=9 so the value is given as
[tex]P(x=9)=\dfrac{x_{max}-x}{x_{max}-x_{min}}\\P(x=9)=\dfrac{13-9}{13-7}\\P(x=9)=0.6667[/tex]
So the probability that the loan process will take longer than 9 days is 0.6667.
The probability an application selected randomly takes longer than 9 days is 0.6
Data;
- Range = 7 to 13 days
Uniform Distribution
Assuming the time to process a loan application follows a uniform distribution over the range 7 to 13 days.
The probability an application selected randomly takes longer than 9 days will be
[tex]P = p[x > 9]\\P = \frac{13 - 9}{13- 7} =\frac{2}{3} = 0.6[/tex]
The probability an application selected randomly takes longer than 9 days is 0.6
Learn more on uniform distribution here;
https://brainly.com/question/14114556