(Solved): I keep getting the wrong answer plz help! For the probability density function \( \mathrm{f} \) defi ...

For the probability density function \( \mathrm{f} \) defined on the random variable \( \mathrm{x} \), find (a) the mean of \( \mathrm{x} \), (b) the standard deviation of \( \mathrm{x} \), and (c) the probability that the random variable \( \mathrm{x} \) is within one standard deviation of the mean. \[ f(x)=\frac{3}{208} x^{2},[2,6] \] a) Find the mean \[ \mu= \] (Round to three becimal places as needed) b) Find the standard deviation \[ \sigma= \] (Round to three decimal places as needed) c) Find the probability that the random variable \( \mathrm{x} \) is within one standard deviation of the mean. The probability is (Round to three decimal places as needed.)