Assume that the wavelengths of photosynthetically active rad

Assume that the wavelengths of photosynthetically active radiations (PAR) are uniformly distributed at integer nanometers in the red spectrum from 630 to 650 nm. What is the mean, mu, and variance, sigma 2, of the wavelength distribution for this radiation? Round your answers to one decimal place (e.g. 98.7).

Solution

If a distrbution is uniformly distributed from (a, b), then

u = (1/2)(a+b) = (1/2)(630+650) = 640 [answer]

variance = (1/12)(a-b)^2 = (1/12)*(630-650)^2 = 33.33333333 [answer]