3. (a) Toss a coin n times, Let 'p' represent the probability of obtaining a \"Head\" in an},F toss. Show that the most likely number of \"Hearts\" Jan in 11 trials is given by (\"+1)p1kn(+1}s {1} and hence LEIHo (b) In a book of 200 pages long, it is not unreasonable to expect 20 misprints. Find the probability that a given page will eontain i] two misprints ii} two or less misprints iii) two or more misprints [Hint Think about approximating a Binomial random variable}