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)?
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)?
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
Related questions
Concept explainers
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
Topic Video
Question
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
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Recommended textbooks for you