A rare form of malignant tumor occurs in 11 children in a​ million, so its probability is 0.000011. Four cases of this tumor occurred in a certain​ town, which had 18 comma 81218,812 children.   a. Assuming that this tumor occurs as​ usual, find the mean number of cases in groups of 18 comma 81218,812 children. b. Using the unrounded mean from part ​(a​), find the probability that the number of tumor cases in a group of 18 comma 81218,812 children is 0 or 1. c. What is the probability of more than one​ case? d. Does the cluster of four cases appear to be attributable to random​ chance? Why or why​ not?

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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.