A probability density function of a continuous random variable is given by f(x) below. Find the median. x if O S x $ 10 f(x) = 50 O otherwise The median value is m = (Round to two decimal places as needed.)A probability density function of a random variable is given by f(x) below. Find the mean, variance, and standard deviation. if x 2 1 f(x) = X 0 otherwiseA probability density function of a random variable is given by f(x) below. Find the median. 1 f(x)- g if15x$e 3 0 otherwise The median value is m = . (Round to two decimal places as needed.) A building contractor's profit (in thousands of dollars) on each unit in a subdivision is a continuous random variable with probability density function given by f(x) below. 0.08(15x) if105x515 f{x) = 0 otherwise A) Find the contractor's expected profit. B) Find the median profit. A) The contractor's expected profit is 11.67 thousand dollars. (Round to two decimal places as needed.) B) The contractor's median prot is thousand dollars. (Round to two decimal places as