Respuesta :
Answer:
The standard deviation of X is 5.57
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 standard deviation is:
[tex]S = \sqrt{\frac{(b-a)^{2}}{12}}[/tex]
X is a continuous uniform random variable between the values 20.8 and 40.1.
This means that [tex]a = 20.8, b = 40.1[/tex]
What is the standard deviation of X?
[tex]S_{x} = \sqrt{\frac{(40.1-20.8)^{2}}{12}}[/tex] = 5.57
