SOLVED: For the probability density function defined on the random variable x, find (a) the mean of x, (b) the standard deviation of x, and (c) the probability that the random variable is within one standard deviation of the mean:f(x) = 3x[1.,3]a) Find the mean:h = (Round to three decimal places as needed )b) Find the standard deviation(Round to three decimal places as needed:)c) Find the probability that the random variable x is within one standard deviation of the mean:The probability (Round t

A random variable X has the following probability function:| ... | Filo

Probability with discrete random variable example