Good Day Statistic experts I would like some detailed explained solutions for the following probability density function exercise

All parts a - e should have a detailed explained solution

Question 1 The annual return on a G0] issued bond can be modelled by the following probability density function: f(x) ={ Ice3x, x 2 1 0, otherwise a) Determine the value of k. b) Calculate the average of this probability density function. e) What is the variance of this probability density function? d) Calculate the standard deviation of this probability density function. e) What is the median loss