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Briefly answer the following questions: (a) If X is a random variable, then for a given function g(.), is g(X) a random variable? Why?

 

Briefly answer the following questions: (a) If X is a random variable, then for a given function g(.), is g(X) a random variable? Why? (b) What is the definition and three properties of cdf? (c) What is the definition of pmf and pdf? What are the two sufficient and neces- sary conditions for a function to be a pmf/pdf? (d) Does expectation of a random variable always exist? Why?

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a Yes gX is a random variable When you apply a function g to a random variable X the resulting varia... blur-text-image

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