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    Calculating probability, expectation and standard deviation

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    Consider a random variable with the following probability distribution:
    P(X = 0) = 0.1,
    P(X = 1) = 0.2,
    P(X = 2) = 0.3,
    P(X = 3) = 0.3, and
    P(X = 4) = 0.1,

    A) Find : P(X > 3 3|X > 2)
    B) Find the expected value of X
    C) Find the standard deviation of X

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    https://brainmass.com/statistics/probability/calculating-probability-expectation-standard-deviation-521595

    Solution Preview

    The detailed solution is provided for the problem.

    Consider a random variable with the following probability distribution:
    P(X = 0) = 0.1,
    P(X = 1) = 0.2,
    P(X = 2) = 0.3,
    P(X = 3) = 0.3, and
    P(X = 4) = 0.1,

    A) Find : P(X > 3|X > 2) ...

    Solution Summary

    This solution is comprised of a detailed explanation for calculating the condition probability, expectation and standard deviation of a random variable. All formulas are provided and calculations are done in the solution.

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