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A Store Is Offering a Discount on 800 Pairs of Basketball

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Essay

A store is offering a discount on 800 pairs of basketball shoes. The amount of the discount varies and is not revealed to the customer until checkout. The distribution of discounts is given in the below table.
 Discount Rate (%)  Number of Tags 52502022035120508065709060\begin{array} { c c } \text { Discount Rate (\%) } & \text { Number of Tags } \\\hline 5 & 250 \\20 & 220 \\35 & 120 \\50 & 80 \\65 & 70 \\90 & 60\end{array}
How many pairs of shoes does a customer have to buy so that, on average, he has purchased five containing a 65% or 90% discount? (Hint: Use the hypergeometric distribution in ASP to answer this question.)


Definitions:

Exchange Rate Fluctuations

Variations in the value of one currency relative to another, which can affect the profitability of international investments and trade.

Deferred Payment

A delayed payment agreement which allows the buyer to take possession of goods or services upfront and pay for them at a later date.

Cash Flows

The gross amount of financial inflows and outflows within a company, crucially impacting its liquidity status.

Economic Conditions

The current state of the economy in a country or region, encompassing factors like inflation rates, unemployment levels, and GDP growth.

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