If We Sample from a Small Finite Population Without Replacement $$P ( x ) = \frac { A ! } { ( A - x ) ! x ! } \cdot \frac { B ! } { ( B - n + x ) ! ( n - x ) ! } \div \frac { ( A + B ) ! } { ( A + B - n ) ! n ! }$$

question 121

Multiple Choice

If we sample from a small finite population without replacement, the binomial distribution should not be used because the events are not independent. If sampling is done without replacement and the outcomes belong to one of two types, we can use hypergeometric distribution. If a population has A objects of one type, while the remaining B objects are of the other type, and if n objects are sampled without replacement, then the probability of getting x objects of type A and n - x objects of type B is $$P ( x ) = \frac { A ! } { ( A - x ) ! x ! } \cdot \frac { B ! } { ( B - n + x ) ! ( n - x ) ! } \div \frac { ( A + B ) ! } { ( A + B - n ) ! n ! }$$ In a relatively easy lottery, a bettor selects 4 numbers from 1 to 14 (without repetition) , and a winning 4-number combination is later randomly selected. What is the probability of getting all 4 winning numbers?

• A)0
• B)0.002
• C)0.001
• D)0.003

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Definitions:

Dismiss the Petition

A court's act of rejecting a legal petition or request, preventing it from being considered or further pursued.

Reorganization

A process aimed at restructuring a company's operations, finances, or structure to improve efficiency and profitability, often in the context of bankruptcy.

Liquidation

The process of converting assets into cash or cash equivalents, often in the context of winding up a company.

Repayment Plan

An agreement between a borrower and lender detailing the manner in which a loan will be paid back, often including the schedule, amounts, and duration.