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    Computing Cumulative Function, Mean, and Variance

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    5. A continuous random variable has a probability density function: f(x) = Ax^2

    for 0 (less than or equal to) x (less than or equal to) 3.

    (a) What is the value of A?
    (b) What is the cumulative probability function of random variable x?
    (c) What is the expected value?
    (d) What is the variance of the random variable?

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    Solution Summary

    The solution gives detailed steps on computing cumulative function, mean, and variance for a given probability density function.