Some parts of California are particularly earthquake-prone. Suppose that in one metropolitan area. 25% of all homeowners are insured against earthquake damage. Four homeowners arc to be selected at random: let X denote the number among the four who have earthquake insurance. a. Find the probability distribution of [ Hint: Let S denote a homeowner who has insurance and F one who does not. Then one possible outcome is SFSS, with probability (.25)(.75)(.25)(.25) and associated Xvalue 3.There are 15 other outcomes.] b. Draw the corresponding probability c. What is the most likely value for X? d. What is the probability that at least two of the four selected have earthquake insurance?
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.
Some parts of California are particularly earthquake-prone. Suppose that in one metropolitan area. 25% of all homeowners are insured against earthquake damage. Four homeowners arc to be selected at random: let X denote the number among the four who have earthquake insurance.
a. Find the
b. Draw the corresponding probability
c. What is the most likely value for X?
d. What is the probability that at least two of the four selected have earthquake insurance?
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