beetles may be the most varied order of animals. new beetle species are authenticated, completely unpredictably, at a typical rate of one every 7.0 months. a supplement to a guide is planned to be published after 20 new species have been discovered.a) What are the expected value and standard deviation of the number of months (treated as a contnuous measure of time) until the supplement is published?b) What is the probability that the supplement will be published within 10 years (120.0 months)?c) Recalculate the answer to b) using normal approximation and compare (that was certainly easier, was it not?).