Please answer ALL PARTS of the question.

A quantization volume V has one and only one of its photon modes excited into a coherent state such that the average number of photons in the volume (n) = 1. Find a) The probability to find two photons in that mode. b) Repeat part a), that is, nd the probability to have twice the mean. when the coherent state of the mode has =100. In other words nd the probability to have 200 photons when the mean is 100 0) Repeat part a) when the coherent state of the mode has (n) = 100. You may Stirling's approximation n! m 4/2777), n" e'" useful, which is good to 2% for n = 5 and increasingly accurate as n grows<>