Q.9 The probability that a patient recovers from a disease is 0.8. Suppose 5 people are known to have contracted the disease. Assuming independence find the probability that: (1) exactly 4 recover (iii) at least one but not more than three recover (ii) at least one recover (iv) at most three recover. (iv) 0.26272 Ans. (i) 0.4096 (ii) 0.99968 (iii) 0.2624

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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.