Answer:
0.6 = 60% probability of employee reimbursements exceeding $12,000 next month
Step-by-step explanation:
A distribution is called uniform if each outcome has the same probability of happening.
The uniform distributon has two bounds, a and b, and the probability of finding a value higher than x is given by:
[tex]P(X > x) = \frac{b - x}{b - a}[/tex]
A company found that monthly reimbursements to their employees could be adequately modeled by a uniform distribution over the interval $10,000 < x < 15,000.
This means that, in thousands of dollars, [tex]a = 10, b = 15[/tex]
What is the probability of employee reimbursements exceeding $12,000 next month?
[tex]P(X > 12) = \frac{15 - 12}{15 - 10} = \frac{3}{5} = 0.6[/tex]
0.6 = 60% probability of employee reimbursements exceeding $12,000 next month