An inflammatory disease is a fatal genetic disease occurring mainly in children, belonging to a particular sly community. Suppose that we limit ourselves to families which have (a) exactly three children, and (b) which have both parents carrying the inflammatory disease. For such parents, the probability that a child will get the disease is 1/4. Assume each child is independent of one another. Let X be the random variable representing the number of children that will have the disease. Which distribution does X follow? What will be the pdf of X? Find E(X) and V(X).
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.
An inflammatory disease is a fatal genetic disease occurring mainly in children,
belonging to a particular sly community. Suppose that we limit ourselves to families
which have (a) exactly three children, and (b) which have both parents carrying the
inflammatory disease. For such parents, the probability that a child will get the disease
is 1/4. Assume each child is independent of one another. Let X be the random variable
representing the number of children that will have the disease. Which distribution does
X follow? What will be the
Step by step
Solved in 2 steps