SCENARIO 6-2 John Has Two Jobs.For Daytime Work at a Jewelry Store

question 169

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SCENARIO 6-2
John has two jobs.For daytime work at a jewelry store he is paid $15,000 per month,plus a commission.His monthly commission is normally distributed with mean $10,000 and standard deviation $2000.At night he works occasionally as a waiter,for which his monthly income is normally distributed with mean $1,000 and standard deviation $300.John's income levels from these two sources are independent of each other.
-Referring to Scenario 6-2,for a given month,what is the probability that John's income as a waiter is more than $900?

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Definitions:

Fiduciary Duty

A legal obligation of one party to act in the best interest of another. Typically, a fiduciary is responsible for managing the assets of another person or of a group of people.

Secret Profit

Financial gain obtained secretly and unethically as a result of one's position or through the exploitation of confidential information.

Conflict of Interest

A situation where an individual's personal interests could improperly influence the performance of their duties or decision-making.

Dual Agency

A real estate transaction scenario in which a single agent or broker represents both the buyer and the seller, creating potential conflicts of interest.