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:

Banking Act

Legislation that regulates the operation of banks, establishes banking practices, and ensures the stability and integrity of the banking system.

Reserve Requirements

Central bank regulations that set the minimum fraction of customer deposits and notes that each commercial bank must hold as reserves rather than lend or invest.

Checking Accounts

Bank accounts that allow for easy access to funds through checks, debit cards, and electronic transfers, used for daily transactions.

Open Market Operations

Central bank activities involving buying and selling government securities in the marketplace to influence the money supply and interest rates.