(fluctuations in the density of a gas) consider an ideal gas of n molecules which is in equilibrium within a container of volume vo. denotes n the number of molecules within any v subvolume of this container. the probability p that a given molecule is within this subvolume v is given by v/vo why? . a) what is the average number n of molecules within v? express your answer based on n, vo and v . b) find the standard deviation (δη)2 in the number of molecules in v (δη)2/n expressing your answer based on n. vo and v then calculate · c)what the response of (b) becomes when y o d) what value should the standard deviation assume according to v - vo? 0