On a Recent Holiday Evening, a Sample of 500 Drivers

question 130

Short Answer

On a recent holiday evening, a sample of 500 drivers was stopped by the police. Three hundred were under 30 years of age. A total of 250 were under the influence of alcohol. Of the drivers under 30 years of age, 200 were under the influence of alcohol.
Let A be the event that a driver is under the influence of alcohol. Let Y be the event that a driver is less than 30 years old.
a. Determine PA) and PY).
b. What is the probability that a driver is under 30 and not under the influence of alcohol?
c. Given that a driver is not under 30, what is the probability that he/she is under the influence of alcohol?
d. What is the probability that a driver is under the influence of alcohol, when we know the driver is under 30?
e. Show the joint probability table.
f. Are A and Y mutually exclusive events? Explain.
g. Are A and Y independent events? Explain.

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Definitions:

Continuance Commitment

Refers to an employee's commitment to an organization based on the costs that the employee associates with leaving the organization.

Key Contributors

Individuals or entities significantly influencing the success, development, or advancement of a specific area, project, or field.

Consequences

The outcomes or results that follow from a specific action, decision, or event, either positive or negative.

Organizational Commitment

The psychological state that characterizes an employee's relationship with their organization, and has implications for the decision to continue membership in the organization.