Answer:
The mean of the wavelength distribution for this radiation is 650 nm and the variance is 75 nm².
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 is:
[tex]V = \frac{(b-a)^{2}}{12}[/tex]
Uniformly distributed at integer nanometers in the red spectrum from 635 to 665 nm.
This means that [tex]a = 635, b = 665[/tex]
Mean
[tex]M = \frac{635 + 665}{2} = 650[/tex]
Variance:
[tex]V = \frac{(665 - 635)^{2}}{12} = 75[/tex]
The mean of the wavelength distribution for this radiation is 650 nm and the variance is 75 nm².
