Answer:
a) 27
b) 15
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 distribution is:
[tex]M = \frac{a + b}{2}[/tex]
The variance of the uniform distribution is given by:
[tex]V = \frac{(b-a)^{2}}{12}[/tex]
The standard deviation is the square root of the variance.
They can be said to follow a Uniform distribution from 1 to 53
This means that [tex]a = 1, b = 53[/tex]
a. The mean of this distribution is
[tex]M = \frac{a + b}{2} = \frac{1 + 53}{2} = 27[/tex]
b. The standard deviation is:
[tex]s = \sqrt{V} = \sqrt{\frac{(b-a)^{2}}{12}} = \sqrt{\frac{(53-1)^{2}}{12}} = 15[/tex]
