Consider a binomial random variable x~binom(100,0.01). 1. report p(x = 7), p(x = 8), p(x = 9), try to use only one r command to 2. use two different ways (a illustrated in lecture) to find the probability p(10 s 3, n-100,p-0.01 and hence e(x) = np-1, when n is large and p is return all these three values. x < 30), be careful when treating "end points" 10 and 30. then the pmf of x can be approximated by a suitable poisson random variable y with λ-np. what is the expectation of y? compute p(x-i), p(y-i), i = 0,1, 10 respectively to show that the poisson approximation performs well plot the pmfs for x and y evaluated at 0, 10 in the same plot.