Instruction 6-4 John Has Two Jobs.For Daytime Work at a Jewelry Store

question 139

Short Answer

Instruction 6-4
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 $2,000.At night he works 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 Instruction 6-4,for a given month,what is the probability that John's commission from the jewelry store is at least $12,000?

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Definitions:

Deadweight Loss

The loss of economic efficiency that occurs when the equilibrium for a good or service is not achieved or is not achievable.

Monopoly

A market structure characterized by a single seller dominating the market, with no close substitutes for the product or service offered, leading to limited competition.

Average Cost

The total cost of production divided by the number of goods produced, representing the cost per unit of output.

Marginal Revenue

The additional income that is gained from selling one more unit of a product or service.