he hatcheck staff has had a long day, and at the end of the party they decide to return people’s hats at random. Suppose that n people have their hats returned at random. We previously showed that the expected number of people who get their own hat back is 1, irrespective of the total number of people. In this problem, we will calculate the variance in the number of people who get their hat back. Let X i= 1 if the i-th person gets his or
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.
he hatcheck staff has had a long day, and at the end of the party they decide
to return people’s hats at random. Suppose that n people have their hats returned at
random. We previously showed that the expected number of people who get their own
hat back is 1, irrespective of the total number of people. In this problem, we will calculate
the variance in the number of people who get their hat back.
Let X i= 1 if the i-th person gets his or her own hat back and 0 otherwise.
And S n is the total number of people who get their own hat back.
Find E [ S n ]
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