What is the probability that the firm will have more than eight defaults in a given year? What is the probability that the firm will have no defaults during a given year? Given that there has been no default in the first half of the year, what is the probability that there will be at least eight this year?

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A: Formula: E(X) = ∑i=1nXiP(Xi) Given: X1 = 801, P(X1) = 0.31, X2 = 199.

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Q: what is the expected number of tails?

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Q: what is the probability that all five shark attacks are nonfatal?

A: We have given that

Q: calculate the probability that there are fewer than 4 tornadoes in a 12-year period.

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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.