An Insurance Company Has Collected the Following Data on the Gender

question 93

Essay

An insurance company has collected the following data on the gender and marital status of 300 customers.
Marital Status $$\begin{array} { | l | c | c | c | } \hline \text { Gender } & \text { Single } & \text { Married } & \text { Divorced } \\\hline \text { Male } & 25 & 125 & 30 \\\hline \text { Female } & 50 & 50 & 20 \\\hline\end{array}$$ Suppose that a customer is selected at random. Find the probability that the customer selected is:
a. a married female.
b. not single.
c. married, if the customer is male.
d. female or divorced.
e. Are gender and marital status mutually exclusive? Explain using probabilities.
f. Is marital status independent of gender? Explain using probabilities.

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Definitions:

Highway Fatalities

The number of deaths resulting from accidents or collisions on public roads and highways.

Macroeconomics

A branch of economics dealing with the structure, performance, behavior, and decision-making of an economy as a whole, rather than individual markets.

Nation's Economy

The overall economic system of a country, including its production, consumption, and trade of goods and services.

Wage Inequality

The disparity in income distribution among workers, often due to differences in occupation, education, and experience.