Safety Insurance Company Has Compiled the Following Statistics

question 38

Short Answer

Safety Insurance Company has compiled the following statistics. For any one-year period:
P(accident | male driver under 25) = .22
P(accident | male driver over 25) = .15
P(accident | female driver under 25) = .16
P(accident | female driver over 25) = .14
The percentage of Safety's policyholders in each category is:
Male Under 25 20%
Male Over 25 40%
Female Under 25 10%
Female Over 25 30%
a. What is the probability that a randomly selected policyholder will have an accident within the next year?
b. Given that a driver has an accident, what is the probability the driver is a male over 25?
c. Given that a driver has no accident, what is the probability the driver is a female?

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Definitions:

Supervised

Being under the direction or oversight of someone else, often in a work or learning environment, to ensure tasks are completed correctly or to facilitate learning.

Seniors

Older adults, typically those age 65 and above, who are often considered to have distinct social, health, and economic needs.

Projected

Something that is estimated or forecasted for the future based on current data or trends.

Symbolic Interactionist

A sociological perspective emphasizing how individuals interpret and give meaning to social interactions, objects, and events in their daily lives, shaping their social reality.