Q5: The following table shows the information about education and ownership of a house in the town of Al-Khodh. Housin School University Total Owner 105 406 Rent 351 291 Total If we choose a person at random and use the following notations. the person owns a house; R= the person rents a house; S = the person is school leaver. U = the following probabilities: person is university graduate. Compute (a) P(R) (b) P(S) (c) P(R|S) (d) P(R|U) (e) P(R and S) (f) P(R or S) (g) Are the events R and S independent? Explain. (h) Are the events R and S mutually exclusive? Explain de in Mathl106 and 5

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A:

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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.