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Assume that the wavelengths of photosynthetically active
Chapter 3, Problem 81E(choose chapter or problem)
Assume that the wavelengths of photosynthetically active radiations (PAR) are uniformly distributed at integer nanometers in the red spectrum from 675 to 700 nm.
(a) What are the mean and variance of the wavelength distribution for this radiation?
(b) If the wavelengths are uniformly distributed at integer nanometers from 75 to 100 nanometers, how do the mean and variance of the wavelength distribution compare to the previous part? Explain.
Questions & Answers
QUESTION:
Assume that the wavelengths of photosynthetically active radiations (PAR) are uniformly distributed at integer nanometers in the red spectrum from 675 to 700 nm.
(a) What are the mean and variance of the wavelength distribution for this radiation?
(b) If the wavelengths are uniformly distributed at integer nanometers from 75 to 100 nanometers, how do the mean and variance of the wavelength distribution compare to the previous part? Explain.
ANSWER:
Step 1 of 2
Let X follows the Uniformly distributed starting integer nanometers in the red spectrum from 675 to 700 mm.
a)
The claim is to find the mean and variance of the lengths.
Mean =
Where, a = 675, and b = 700.
Then, E(x) =
= 687.5
V(x) =
=
= 56.25
Hence, the mean is 687.5, and variance is 56.25