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

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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 less than $13,000?


Definitions:

Opposable Thumbs

A characteristic of some primates, including humans, allowing the thumb to touch the tips of the other fingers, enabling grasping objects and tool use.

Chimpanzees

A species of great ape native to the forests and savannas of tropical Africa, known for its complex behaviors and social structures.

Nocturnal

Active at night and at rest during the day.

Arboreal

Relating to or resembling a tree or life in the trees; often used to describe animals that live in trees.

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