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If the Random Variable X Is Exponentially Distributed with Parameter

question 154

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If the random variable X is exponentially distributed with parameter λ = 0.05,then the probability P(X < 5)= .2865.

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Definitions:

Gamma

A measure of the rate of change in an option's delta for a one-unit change in the price of the underlying asset.

Theta

In financial markets, it represents the rate of decline in the value of an option as time to expiration decreases, holding all else constant.

Black-Scholes

It's a mathematical model used for pricing European-style options, taking into account factors like volatility, underlying asset price, and time to expiration.

Variance

A statistical measure of the dispersion of returns for a given security or market index.

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