There are 26 integers in the set
. If the wavelength of light is uniformly distributed, then the probability that it has a wavelength of any one of these integers is
, so the distribution of wavelengths has probability mass function
The mean (expected value) is given by
and the variance by
First, the mean:
(rounded up from an exact value of 642.5)
Now for the variance:
Meanwhile,
, which gives a total variance of
(rounded up from 56.5)
There is an app called socratic, also if this assignment goes with a text book there is an app called sladder that has all textbook answers with work
<span>-3 + y = 0
All you need to do is add 3 to both sides so that the -3 cancels out on the left side. Doing this will also leave you with the variable y on the left side.
Final Answer: y= 3</span>