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An Insurance Company Has Collected the Following Data on the Gender

Question 72

Essay

An insurance company has collected the following data on the gender and marital status of 300 customers.
Marital Status  Gender  Single  Married  Divorced  Male 2512530 Female 505020\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.

Correct Answer:

verifed

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a. 0.167.
b. 0.75.
c. 0.694.
d...

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