A factory finds that an average 205 bolts produced by a given machine will be defetive. If 10 bolts are selected at random from a days production of this machine. Find the probability that -

a. exactly 2 will be defective

b. 2 or more will be defective

c. more than 5 will be defective

d. If 1000 samples of 10 bolts each taken in the above problem. In how many of the samples you expect to find exacly 2 defectives bolts and 2 or more defective bolts? Use binomial and poisson's distribution?