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cumulative distribution question

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  • cumulative distribution question

    Hello.
    I have the following question that I don't have a clue of how to solve:

    Let X~exp(0.5) and define Y = min(X,2). Evaluate F_y(3)

    Ans: a. e^-1 b. 1-e^-1 c. 1-e^-1.5 d. 0 e. 1

    Thank you.

  • #2
    Y is the minimum of x and 2 implies the maximum value of Y is 2.
    Therefore F_y(3)=prob(Y<=3)=1.

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