Routine physical examinations of 400 preschool children reveleaed that 70 had dental problems, 60 had vision problems, 80 had hearing problems, 30 had dental and vision problems, 25 had dental and hearing problems, and 10 had vision and hearing problems. Ten students had problems in all three categories. A child is picked at random from these 400 children. a. Find the probability that the child has at most one of these three problems? b. Given that the childhas no dental problems, what is the probability that the child has hearing problems ?
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.
Routine physical examinations of 400 preschool children reveleaed that 70 had dental problems, 60 had vision problems, 80 had hearing problems, 30 had dental and vision problems, 25 had dental and hearing problems, and 10 had vision and hearing problems. Ten students had problems in all three categories. A child is picked at random from these 400 children.
a. Find the probability that the child has at most one of these three problems?
b. Given that the childhas no dental problems, what is the probability that the child has hearing problems ?
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