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

question 83

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,the probability is 0.30 that John's commission from the jewelry store is no more than how much in a given month?

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Definitions:

Personal Income Tax

A tax that governments impose on individuals based on their earnings or income.

Top Marginal

Refers to the highest tax rate applied to the last dollar of taxable income in a progressive tax system.

Federal Income Tax Rate

The percentage of an individual's or corporation's income that is paid to the federal government, which varies based on income level and filing status.

Progressive

Favoring or implementing social reform or new, liberal ideas.