Question: Let X be a random variable with cumulative distribution function (CDF) given by F X(x) = {1-e^(-3x^(2)), x>=0 and 0, otherwise (a) Find the probability

Let X be a random variable with cumulative distribution function (CDF) given by F X(x) = {1-e^(-3x^(2)), x>=0 and 0, otherwise

(a) Find the probability density fuctnion (PDF) of X.

(b) Find the mean, median and mode of the random variable X and state if the distribution is left-skewed or right-skewed.

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