Respuesta :
The parameters for the uniform distribution should be of a = 10 and b = 20.
What is the uniform probability distribution?
It is a distribution with two bounds, a and b, in which each outcome is equally as likely.
The probability of finding a value of at lower than x is:
[tex]P(X < x) = \frac{x - a}{b - a}[/tex]
In this problem, a contractor has estimated that the minimum number of days to remodel a bathroom for a client is 10 days, hence the lower bound is of a = 10.
He also estimates that 80% of similar jobs are completed within 18 days, hene P(X < 18) = 0.8, thus the upper bound is given by:
[tex]P(X < x) = \frac{x - a}{b - a}[/tex]
[tex]0.8 = \frac{18 - 10}{b - 10}[/tex]
[tex]0.8b - 8 = 8[/tex]
[tex]0.8b = 16[/tex]
[tex]b = \frac{16}{0.8}[/tex]
[tex]b = 20[/tex]
More can be learned about the uniform distribution at https://brainly.com/question/13889040
