Instruction 6.2 John Has Two Jobs. for Daytime Work at a Jewellery

question 110

Short Answer

Instruction 6.2
John has two jobs. For daytime work at a jewellery 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 6.2,for a given month,what is the probability that John's commission from the jewellery store is between $9,000 and $11,000?

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Definitions:

Major Obstacle

A significant barrier or hurdle that impedes progress or achievement in a particular endeavor or project.

Comanche

A Native American tribe historically known for their horseback riding skills and dominance over the Great Plains area.

Northern Mexico

A geographic region of Mexico, characterized by its desert landscapes, industrial cities, and significant role in agriculture and manufacturing.

Comanche

A Native American tribe, historically known as fearsome warriors, who lived in what is now Wyoming, Texas, Oklahoma, and New Mexico.