After all students have left the classroom, a statisticsprofessor notices that four copies of the text were leftunder desks. At the beginning of the next lecture, theprofessor distributes the four books in a completely randomfashion to each of the four students (1, 2, 3, and 4)who claim to have left books. One possible outcome isthat 1 receives 2’s book, 2 receives 4’s book, 3 receiveshis or her own book, and 4 receives 1’s book. This outcomecan be abbreviated as (2, 4, 3, 1).a. List the other 23 possible outcomes.b. Let X denote the number of students who receivetheir own book. Determine the pmf of 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.
After all students have left the classroom, a statistics
professor notices that four copies of the text were left
under desks. At the beginning of the next lecture, the
professor distributes the four books in a completely random
fashion to each of the four students (1, 2, 3, and 4)
who claim to have left books. One possible outcome is
that 1 receives 2’s book, 2 receives 4’s book, 3 receives
his or her own book, and 4 receives 1’s book. This outcome
can be abbreviated as (2, 4, 3, 1).
a. List the other 23 possible outcomes.
b. Let X denote the number of students who receive
their own book. Determine the pmf of X.
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