Answer:
The mean is 4.5 and the standard deviation is 1.44.
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 uniform probability distribution is:
[tex]M = \frac{(a + b)}{2}[/tex]
The standard deviation of the uniform probability distribution is:
[tex]S = \sqrt{\frac{(b-a)^{2}}{12}}[/tex]
Uniformly distributed random variable ranging from 2 to 7.
This means that [tex]a = 2, b = 7[/tex].
So
[tex]M = \frac{(2 + 7)}{2} = 4.5[/tex]
[tex]S = \sqrt{\frac{(b-a)^{2}}{12}} = \sqrt{\frac{(7 - 2)^{2}}{12}} = 1.44[/tex]
The mean is 4.5 and the standard deviation is 1.44.
