QI: The binomial distribution bin(n,p) can be approximated by a Poisson distribution with mean = np. To explore this, suppose we compute the probability = P(X 8), where X is a Poisson random variable with mean = 10. Then we should have n,p where qn,p-P(Y-8), for Y ~ bin(n, p) with p= , provided n is large enough. To get a sense of how large n should be, using R, construct a plot of qn,p against n, for n = 10, 11,.. , 199, 200, in each case setting p-Mn. Superimpose on the plot a horizontal line at P-Then find the smallest n for which Ign,p-Al 0.01