can you please show and explain

The actual tracking weight of a stereo cartridge that is set to track at 3 g on a particular changer can be regarded as a continuous rv X with the following pdf. x)={\"[1'{X3)2] 2 3x34 0 otherwise (a) Sketch the graph of x). fix) fix) 1.0 1.0 0.3 0.3 0.5 0.5 0.4 0.4 0.2 0.2 X X 0 2.0 2.5 3.0 3.5 4.0 4.5 O 2.0 2.5 3.0 3.5 4.0 4.5 fun x} 1.0 1.0 0.3 0.3 0.5 0.5 0.4 0.4 0.2 0.2 X K O 2.0 2.5 3.0 3.5 4.0 4.5 O 2.0 2.5 3.0 3.5 4.0 4.5 (b) Find the value of k. E (c) What is the probability that the actual tracking weight is greater than the prescribed weight? E (d) What is the probability that the actual weight is within 0.35 g of the prescribed weight? {Round your answer to four decimal places.) E (e) What is the probability that the actual weight differs from the prescribed weight by more than 0.45 g? {Round your answer to four decimal places.) ll