Considering the 30% fractional saturation (p = 0.3) for hemoglobin in the tissues, we can use a Gaussian distribution to more easily calculate the probabilities for various numbers of oxygen molecules bound to hemoglobin in our aliquot of 125 proteins.

a) What is the mean value at 30% fraction saturation for 500 binding sites?

b) What is the standard deviation for the Gaussian distribution?

c) What is the relative probability of have 125 binding sites occupied versus 250 binding sites occupied at 30% fraction saturation?