The sampling distribution of 
is the χ2 distribution.
Definitions:
Black-Scholes
A mathematical model used for pricing European call and put options, taking into account the stock price, strike price, risk-free rate, and time to expiration.
In The Money
Describes an option with intrinsic value where a call option's strike price is below the market price of the underlying asset, or a put option's strike price is above.
Time To Expiration
The remaining period until a derivative contract such as an option or a futures contract becomes invalid or terminates.
Put Option
A financial contract that gives the holder the right, but not the obligation, to sell a specified amount of an underlying asset at a set price within a specified timeframe.
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