In Hawaii, January is a favorite month for surfing since 66% of the days have a surf of at least 6 feet.† You work day shifts in a Honolulu hospital emergency room. At the beginning of each month you select your days off, and you pick 7 days at random in January to go surfing. Let r be the number of days the surf is at least 6 feet. (a) What is the probability of getting 4 or more days when the surf is at least 6 feet? (Round your answer to three decimal places.) (b) What is the probability of getting fewer than 3 days when the surf is at least 6 feet? (Round your answer to three decimal places.) (c) What is the expected number of days when the surf will be at least 6 feet? (Round your answer to two decimal places.) days (d) What is the standard deviation of the r-probability distribution? (Round your answer to three decimal places.) days
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, January is a favorite month for surfing since 66% of the days have a surf of at least 6 feet.† You work day shifts in a Honolulu hospital emergency room. At the beginning of each month you select your days off, and you pick 7 days at random in January to go surfing. Let r be the number of days the surf is at least 6 feet.
(b) What is the probability of getting fewer than 3 days when the surf is at least 6 feet? (Round your answer to three decimal places.)
(c) What is the expected number of days when the surf will be at least 6 feet? (Round your answer to two decimal places.)
days
(d) What is the standard deviation of the r-probability distribution? (Round your answer to three decimal places.)
days
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