Find the indicated probabilities using the geometric distribution, the Poisson distribution, or the binomial distribution. Then determine if the events are unusual. If convenient, use the appropriate probability table or technology to find the probabilities. A newspaper finds that the mean number of typographical errors per page is nine. Find the probability that (a) exactly five typographical errors are found on a page, (b) at most five typographical errors are found on a page, and (c) more than five typographical errors are found on a page. (a) P(exactly five typographical errors are found on a page) - (Round to four decimal places as needed.) (b) P(at most five typographical errors are found on a page) (Round to four decimal places as needed.) (c) P(more than five typographical errors are found on a page) - (Round to four decimal places as needed.) Which of the events are unusual? Select all that apply. A The event in part (a) is unusual. B. The event in part(b) is unusual. C. The event in part (c) is unusual. D. None of the events are unusual.

Show that the probability of drawing a club at random from a standard deck of 52 playing cards is the same as the probability of drawing the ace of hearts at random from a set of four cards consisting of the aces of hearts, diamonds, clubs, and spades.

An unbalanced coin is weighted so that the probability of heads is 0.55. The coin is tossed ten times. (a) What is the probability of getting exactly 6 heads? (b) What is the probability of getting fewer than 3 heads?