Thanks for the help again.

In western Kansas, the summer density of hailstorms is estimated at about 2.0 storms per 5 square miles. In most cases, a hailstorm damages only a relatively small area in a square mile. A crop insurance company has insured a tract of 10 square miles of Kansas wheat land against hail damage. Let r be a random variable that represents the number of hailstorms this summer in the 10-square-mile tract. (a) Explain why a Poisson probability distribution is appropriate for r. (9 Hail storms in western Kansas are a rare occurrence. It is reasonable to assume the events are independent. 0 Hail storms in western Kansas are a rare occurrence. It is reasonable to assume the events are dependent. 0 Hail storms in western Kansas are a common occurrence. It is reasonable to assume the events are independent. 0 Hail storms in western Kansas are a common occurrence. It is reasonable to assume the events are dependent. J What is A for the 10-square-mile tract of land? Round A to the nearest tenth so that you can use Table 4 of Appendix II for Poisson probabilities. 4.0 (b) If there already have been two hailstorms this summer, what is the probability that there will be a total of four or more hailstorms in this tract of land? Compute P(r 2 4 | r 2 2). (Round your answer to four decimal places.) 0.5665 x (c) If there already have been three hailstorms this summer, what is the probability that there will be a total of fewer than six hailstorms? Compute P(r