If one million cells in a culture are exposed to ten million

If one million cells in a culture are exposed to ten million infectious virus particles in 1 ml. Calculate how many cells (%) would be infected with an m.o.i. greater than 5. Please show calculations

Solution

For finding out the moi(multiplicity of the infection) we should find the probability of the event with an known average rate that is independent of time.for this the concept of poisson\'s distribution is followed.it is P(k)=e^-m m^k/k!

P(K) is fraction of cells infected by the k virus and m is the moi