Suppose that a certain country conducted tests of a certain type of bomb in 2009 and 2013, and another country's defence ministry estimated their power at between 6 and 10 kilotonnes of a certain explosive in 2009 and between 10 and 12 kilotonnes of the explosive in 2013. "The power of the country's bomb tests increased between 2009 and 2013," stated a commentator. Assume that the ranges given by the second country's defence ministry represent the ranges within which the actual power of the tests lies with a probability of 0.85. Also assume that the defence ministry's estimates are Normally distributed. Complete parts (a) and (b) below. a) What is the probability that the actual power of the 2009 test was greater than 12 kilotonnes of explosive? (Round to four decimal places as needed.) b) What is the probability that the actual power of the test was higher in 2009 than in 2013? (Round to four decimal places as needed.)

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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.