1. A study of a disease reveals that there is an average of 1case every 22 square miles. Residents of a town that has an area of10 square miles are concerned because there are two cases in theirarea. The state’s Department of Health has decided to investigatefurther if the probability of getting two or more cases in thistown is less than 0.05. Does the Department of Health investigatefurther?  (3)
2. A lottery is carried out by choosing five balls, withoutreplacement, from a box of 35 balls. The lottery ticket has fivenumbers on it. Find the probability that exactly four of the ballsthat come out of the box match the numbers on the lottery ticket.(3)
3. A neighborhood has 32 households – 27 white, and 5 nonwhite.A subset of 9 of these households move to an adjacent neighborhood.What is the probability that less than two of the households in thenew neighborhood are nonwhite? (3)
