The four floodgates of a small hydroelectric dam fail and are repaired independently of each other. From experience, it’s known that each floodgate is out of order 4 percent of the time. (a) If floodgate 1 is out of order, what is the probability that floodgates 2 and 3 are out of order? (b) During a tour of the dam, you are told that the chances of all four floodgates being out of order are less than 1 in 5,000,000. Is this statement true?
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.
The four floodgates of a small hydroelectric dam fail and are repaired independently of each other. From experience, it’s known that each floodgate is out of order 4 percent of the time.
(a) If floodgate 1 is out of order, what is the
(b) During a tour of the dam, you are told that the chances of all four floodgates being out of order are less than 1 in 5,000,000. Is this statement true?
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