Estimate the probability that there will be a hurricane-related toxic release at the naval base in Pensacola next year. Find the probability that at least one toxic release will occur in a six-year period. Climate scientists believe that climate change will increase the frequency of hurricanes. Assume that the hurricane frequency in Pensacola is doubled in the future. Re-calculate the probability that at least one toxic release will occur in a six-year period. Does the answer surprise you when you compare it to your answer from part (b)?
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.
Laura Steinberg, former Dean of E&CS at Syracuse University, studies the potential for the release of toxic chemicals to the environment during natural disasters such as earthquakes, tornadoes and hurricanes. Her analysis of data from the United States in 1990-2006 revealed that 4 out of 22 facilities experienced toxic releases when subjected to Category 3 (Cat3) hurricane-force winds. In
The U.S. naval base in Pensacola, Florida has experienced Cat3 winds 7 times in 133 years of recorded observations. You may assume that the occurrence of hurricanes in Pensacola is independent from year to year.
- Estimate the probability that there will be a hurricane-related toxic release at the naval base in Pensacola next year.
- Find the probability that at least one toxic release will occur in a six-year period.
- Climate scientists believe that climate change will increase the frequency of hurricanes. Assume that the hurricane frequency in Pensacola is doubled in the future. Re-calculate the probability that at least one toxic release will occur in a six-year period. Does the answer surprise you when you compare it to your answer from part (b)?
Consider the following events,
Given that Pensacola experienced hurricane 7 times in 133 years,
Also, it is given that 4 out of 22 facilities experienced toxic releases due to hurricane,
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