1.Recall that during class we did an example of a continuous pdf f(x) = 3x² for 0 <= x <= 1, and 0 other wise.We calculated the expected value (population mean) to be 0.75 in class, and we also showed that the cdf is F(x) = x³ for 0 <= x <= 1.

(a)Determine the population median of this distribution.

(b)Compare the population mean to the population median.Explain why it makes sense that the mean is lower than the median.