In Hawaii shark attacks are very rare. Furthermore, about 55% of all shark attacks are serious, but not fatal.† You are scheduled to give a talk at a local scuba club in Honolulu and want to include a brief statistical profile regarding the most recent eight shark attacks, all of which were nonfatal. Let r be the number of nonfatal attacks out of a random sample of eight shark attacks.(b) What is the probability all eight shark attacks are nonfatal? (Round your answer to three decimal places.) (c) What is the probability that four or more of the eight shark attacks are nonfatal? (Round your answer to three decimal places.) (d) What is the expected number of nonfatal shark attacks out of the eight? What is the standard deviation of the r-probability distribution? (Round your answer to three decimal places.)
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.
In Hawaii shark attacks are very rare. Furthermore, about 55% of all shark attacks are serious, but not fatal.† You are scheduled to give a talk at a local scuba club in Honolulu and want to include a brief statistical profile regarding the most recent eight shark attacks, all of which were nonfatal. Let r be the number of nonfatal attacks out of a random sample of eight shark attacks.
(b) What is the
(c) What is the probability that four or more of the eight shark attacks are nonfatal? (Round your answer to three decimal places.)
(d) What is the expected number of nonfatal shark attacks out of the eight?
What is the standard deviation of the r-probability distribution? (Round your answer to three decimal places.)
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