An Insurance Company Has Collected the Following Data on the Gender

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.