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An Insurance Company Has Collected the Following Data on the Gender

question 13

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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.


Definitions:

Role Ambiguity

The uncertainty experienced by individuals when they lack clear understanding of their job duties, authority, and responsibilities.

Techno-ambiguity

The unclear or confusing relationship people have with technology, often related to its use or implications.

Techno-uncertainty

The unpredictability and instability in the workplace and society due to rapid technological change and innovation.

Techno-overload

The state of being overwhelmed by the amount of new technologies and information one is required to understand and manage.

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