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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. O Hail storms in western Kansas are a rare occurrence. It is reasonable to assume the events are independent. O Hail storms in western Kansas are a rare occurrence. It is reasonable to assume the events are dependent. O Hail storms in western Kansas are a common occurrence. It is reasonable to assume the events are independent. O Hail storms in western Kansas are a common occurrence. It is reasonable to assume the events are dependent. What is i for the 10-square-mile tract of land? Round å to the nearest tenth so that you can use Table 4 of Appendix II for Poisson probabilities. (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 |r2 2). (Round your answer to four decimal places.) (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 < 6 | r 2 3). (Round your answer to four decimal places.)

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. O Hail storms in western Kansas are a rare occurrence. It is reasonable to assume the events are independent. O Hail storms in western Kansas are a rare occurrence. It is reasonable to assume the events are dependent. O Hail storms in western Kansas are a common occurrence. It is reasonable to assume the events are independent. O Hail storms in western Kansas are a common occurrence. It is reasonable to assume the events are dependent. What is i for the 10-square-mile tract of land? Round å to the nearest tenth so that you can use Table 4 of Appendix II for Poisson probabilities. (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 |r2 2). (Round your answer to four decimal places.) (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 < 6 | r 2 3). (Round your answer to four decimal places.)

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
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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. Hail storms in western Kansas are a rare occurrence. It is reasonable to assume the events are independent. Hail storms in western Kansas are a rare occurrence. It is reasonable to assume the events are dependent. Hail storms in western Kansas are a common occurrence. It is reasonable to assume the events are independent. Hail storms in western Kansas are a common occurrence. It is reasonable to assume the events are dependent. What is i for the 10-square-mile tract of land? Round 1 to the nearest tenth so that you can use Table 4 of Appendix II for Poisson probabilities. (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 > 4 |r> 2). (Round your answer to four decimal places.) (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 < 6 | r > 3). (Round your answer to four decimal places.) Need Help? Watch It Read It
Transcribed Image Text: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. Hail storms in western Kansas are a rare occurrence. It is reasonable to assume the events are independent. Hail storms in western Kansas are a rare occurrence. It is reasonable to assume the events are dependent. Hail storms in western Kansas are a common occurrence. It is reasonable to assume the events are independent. Hail storms in western Kansas are a common occurrence. It is reasonable to assume the events are dependent. What is i for the 10-square-mile tract of land? Round 1 to the nearest tenth so that you can use Table 4 of Appendix II for Poisson probabilities. (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 > 4 |r> 2). (Round your answer to four decimal places.) (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 < 6 | r > 3). (Round your answer to four decimal places.) Need Help? Watch It Read It
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