DETAILS PREVIOUS ANSWERS LARCAAPCALC2 16.4.003. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Use the given probability density function over the indicated interval to find the mean, variance, and standard deviation of the random variable. Then sketch the graph of the density function and locate the mean on the graph. f(t) = 72' [0, 12] (a) mean of the random variable (b) variance of the random variable (c) standard deviation of the random variable