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:

K Distributions

Families of probability distributions used in statistical analyses, where 'K' may represent a parameter or a specific type of distribution.

Paired Two-Sample T-Test

A statistical test used to compare the means from two related groups of samples.

Kruskal-Wallis H Test

A method that does not rely on parameter assumptions to test if samples come from an identical distribution.

Teaching Method

A systematic plan designed to present educational material or a concept to students.