The actual tracking weight of the stereo cartridge that is set to track at 3 g on a specific changer can be regarded as the continuous rv X with the following pdf.
f(x)=(k[1-(x-3)2) 2<=x<=4 otherwise 0
k=3/4
a.) Determine the probability that the actual weight is within 0.1 g of the prescribed weight?
b.) Determine the probability that the actual weight differs from the prescribed weight by more than 0.3 g?