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

question 110

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 between $11,000 and $12,000?

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Definitions:

Nominal Value

The face value of a financial instrument, such as a bond or stock, as stated by the issuer, without accounting for inflation or market value changes.

Unsheltered Investment Income

Income from investments that is not protected from taxes, meaning it is fully exposed to taxation.

Social Security Taxes

Taxes collected from employees and employers to fund the Social Security program, which provides retirement, disability, and survivorship benefits.

Income Cap

A limit on the amount of income an individual or entity can receive, often used in tax or investment contexts to limit earnings or tax benefits.