**Question **# We capture two independent captures from the same light source on a radiometer. The settings and conditions are identical between the two captures. The captures are random variables X and Y.However, noise is present in each collection and each collection has a different noise realization.This can be modeled as I+N, where I is the irradiance incident on the radiometer, and is equal for each capture. However, the noise, N, is different. So we have X = 1+ Nx, and Y = 1+ Ny. I and N are both random variables as well and the noise realizations and irradiance are independent with respect to each other. We can also assume that the variance of the noise terms Nx and Ny are equal. Find the correlation coefficient between the two radiometer captures X and Y, in terms of the variance of I and the variance of the Noise terms.