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    Cumulative Distribution and Probability Density Function and Expected Value

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    1. Let X be a continuous random variable, with
    P(X>x) = (1-x)^2 0≤x≤1
    (i) Find the cumulative distribution function of X.
    (ii) Find the probability density function of X.
    (iii) Find the expected value of X.

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    Solution Preview

    (i) since the cumulative distribution function (cdf) is the probability that the variable takes a value less than or equal to x. That is ...

    Solution Summary

    Cumulative Distribution and Probability Density Functions and Expected Values are investigated. The solution is detailed and well presented. The response received a rating of "5" from the student who originally posted the question.