The Time It Takes a Mechanic to Change the Oil

question 37

Essay

The time it takes a mechanic to change the oil in a car is exponentially distributed with a mean of 5 minutes.
a.What is the probability density function for the time it takes to change the oil?
b.What is the probability that it will take a mechanic less than 6 minutes to change the oil?
c.What is the probability that it will take a mechanic between 3 and 5 minutes to change the oil?
d.What is the variance of the time it takes to change the oil?

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Definitions:

Consumer Fraud

Deceptive practices that result in financial or other losses for consumers in the course of seemingly legitimate business transactions.

Legal Advertising

Promotion and marketing practices by legal professionals or law firms intending to attract clients, regulated by ethical standards.

Deviance Against Government

Actions or behaviors that defy or resist a government's laws or societal expectations.

Corporate Respectability

The state or quality of being respected or esteemed in the corporate world, often achieved through ethical business practices and social responsibility.