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A Random Sample of 4 Units Is Taken from a Group

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A random sample of 4 units is taken from a group of 15 items in which 4 units are known to be defective. Assume that sampling occurs without replacement, and the random variable x represents the number of defective units found in the sample.
The mean of the random variable x is:
______________
The variance of the random variable x is:
______________
P(x = 0) = ______________
P(x = 1) = ______________
P(x = 2) = ______________
P(x = 3) = ______________
P(x = 4) = ______________


Definitions:

Credit Risk

The probability of loss due to a borrower's failure to make payments as agreed upon.

Higher Interest Rate

A situation where lending rates are elevated, often leading to reduced borrowing and slower economic growth.

Financial Markets

Marketplaces where individuals and entities can trade financial securities, commodities, and other fungible assets.

Loanable Funds Market

A theoretical market where borrowers and lenders negotiate interest rates for loans, which determines the supply and demand for credit in the economy.

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