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    Methods of Moments and Maximum Likelihood

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    9. (Method of Moments and Maximum Likelihood, 8 points)
    The exponential random variable is given by
    f(x) = lamba(e^-lamba(x)), x (greater or equal to) 0.

    a) Recall that EX = 1/lamba. Use the method of moments to estimate lamba.
    b) Find the maximum likelihood estimate of lamba.

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    This solution helps with a problem regarding method of moments and maximum likelihood.