Answer:
Mean is 6
Variance is 5.33
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 mean of the distribution is:
[tex]M = \frac{a + b}{2}[/tex]
The variance of the distribution is:
[tex]V = \frac{(b-a)^{2}}{12}[/tex]
Uniformly distributed between 2 and 10 minutes.
This means that [tex]a = 2, b = 10[/tex]
Mean
[tex]M = \frac{2 + 10}{2} = 6[/tex]
[tex]V = \frac{(10 - 2)^{2}}{12} = 5.33[/tex]
