What Are the Probabilities for NYSE Trading Volumes?

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SUMMARY

The discussion focuses on calculating probabilities related to NYSE trading volumes, which are assumed to follow a normal distribution. Key questions include determining the probability of trading volumes being less than 800 million shares and exceeding 1 billion shares. Additionally, the discussion addresses identifying the trading volume threshold that would trigger a press release for the top 5% of trading days. The central limit theorem and sampling distribution concepts are essential for understanding these calculations.

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Shekster
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Easy probability question help??

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Above are the trading volumes (millions of shares) for stocks traded on the NYSE during a certain period.
Assume that the probability distribution of the trading volumes is approximately normal.

2.2 What is the probability that on a particular day the trading volume will be less than 800 million shares?

2.3 What is the probability that on a particular day the trading volume will exceed 1 billion shares?

2.4 If the exchange wants to issue a press release on the top 5% of trading days, what volume will trigger a press release??

This is not homework i am trying to explain this to my brother and don't know how too, answers with working out would be required.
 
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With the context you gave, this just seems like an issue with the sampling distribution

of the mean, which follows from the central limit theorem. Look up those terms and let

us know of any followup question. The sampling distribution is just that; a distribution

which allows us to determine the probabilities of events.
 

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