Answer: The mean and variance of the wavelength distribution for this radiation are 642.5 nm and 75 nm.
Step-by-step explanation:
The mean and variance of a continuous uniform distribution function with parameters m and n is given by :-
[tex]\text{Mean=}\dfrac{m+n}{2}\\\\\text{Variance}=\dfrac{(n-m)^2}{12}[/tex]
Given : [tex]m=625\ \ \ n=655[/tex]
[tex]\text{Then, Mean=}\dfrac{625+655}{2}=642.5\\\\\text{Variance}=\dfrac{(655-625)^2}{12}=75[/tex]
Hence, the mean and variance of the wavelength distribution for this radiation are 642.5 nm and 75 nm.
