Small press publishes an unpredictable number Xof newbooks each month with probability generating function휋"푞=퐸푞"='()*+(,*).//a) Each book they publish in a given month has an 80% chanceof reaching a best-seller list. What is the probability that next month allthe books they publish will reach the best-seller list? (Hint: remember the post-testinterpretation of p?)b) Calculate the expected value and variance of the number of books they will publish next month.