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Assume You Have Applied for Two Scholarships, a Merit Scholarship

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Essay

Assume you have applied for two scholarships, a Merit scholarship (M) and an Athletic scholarship (A). The probability that you receive an Athletic scholarship is 0.18. The probability of receiving both scholarships is 0.11. The probability of getting at least one of the scholarships is 0.3.
a.What is the probability that you will receive a Merit scholarship?
b.Are events A and M mutually exclusive? Why or why not? Explain.
c.Are the two events A, and M, independent? Explain, using probabilities.
d.What is the probability of receiving the Athletic scholarship given that you have been awarded the Merit scholarship?
e.What is the probability of receiving the Merit scholarship given that you have been awarded the Athletic scholarship?


Definitions:

Goods and Services

Physical items (goods) and activities provided by others for use or consumption (services).

Quantity Equation

An equation that relates the money supply, its velocity (rate at which money is exchanged), and the price level of goods and services in an economy.

Changes Hands

An expression referring to the act of transferring ownership of something from one person or group to another.

Overall Prices

Overall prices refer to the general level of prices for goods and services in the economy, often assessed through indicators like the Consumer Price Index (CPI).

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