If a hurricane forms in the eastem half of the Gulf of Mexico, there is a 76 percent chance that it will strike the western coast of Florida. From data gathered over the past 50 years, it has been determined that the probability of a hurricane's occurring in this area in any given year is 0.85. (a) What is the probability that a hurricane will occur in the eastem Gulf of Mexico and strike Florida this year? (b) If a hurricane in the eastern Gulf of Mexico is seeded (induced to rain by addition of chemicals from aircraft), its probability of striking Florida's west coast is reduced by one- fourth. If it is decided to seed any huricane in the eastem gulf, what is the new value fo the probability in part (a)?

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If a hurricane forms in the eastern half of the Gulf of Mexico, there is a 76 percent chance that
it will strike the western coast of Florida. From data gathered over the past 50 years, it has been
determined that the probability of a hurricane's occurring in this area in any given year is 0.85.
(a) What is the probability that a hurricane will occur in the eastem Gulf of Mexico and strike
Florida this year?
(b) If a hurricane in the eastern Gulf of Mexico is seeded (induced to rain by addition of
chemicals from aircraft), its probability of striking Florida's west coast is reduced by one-
fourth. If it is decided to seed any huricane in the eastem gulf, what is the new value for
the probability in part (a)?
4-37
II
Transcribed Image Text:If a hurricane forms in the eastern half of the Gulf of Mexico, there is a 76 percent chance that it will strike the western coast of Florida. From data gathered over the past 50 years, it has been determined that the probability of a hurricane's occurring in this area in any given year is 0.85. (a) What is the probability that a hurricane will occur in the eastem Gulf of Mexico and strike Florida this year? (b) If a hurricane in the eastern Gulf of Mexico is seeded (induced to rain by addition of chemicals from aircraft), its probability of striking Florida's west coast is reduced by one- fourth. If it is decided to seed any huricane in the eastem gulf, what is the new value for the probability in part (a)? 4-37 II
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