Question: Answer the following. Do not just type the answers, provide a picture of your solution. The variable x can have any value in the continuous

Answer the following. Do not just type the answers, provide a picture of your solution.

The variable x can have any value in the continuous range 0 S x s 1 with probability density function p(x) = 3x (2 x). (a) Derive an expression for the probability, P (x s a), that the value of x is not greater than a. (b) Conrm that p(x) is normalized. (c) Find the mean (x) and standard deviation 0. (d) Find the probability that (x)o s x s (x)+o

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