Question: 1. Consider the continuous random variable X with probability distribution function (pdf) f(x) = 3x2 on [0,1] a. Find the cumulative distribution function (cdf) associated

1. Consider the continuous random variable X with probability distribution function (pdf) f(x) = 3x2 on [0,1] a. Find the cumulative distribution function (cdf) associated to the continuous random variable with this pdf b. Find the lower quartile, median, and upper quartile for this random variable c. Find E(X) d. Find the variance and the standard deviation for this random variable. (Write the answer of the variance as a fraction)

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