help me with this 4 questions

You may need to use the appropriate appendix table or technology to answer this question. In each case, determine the value of the constant c that makes the probability statement correct. (Round your answers to two decimal places.) (a) (c) = 0.9826 (b) P(0 0) . (c) Compute P(-1 0.7) . (Round your answer to four decimal places.)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. f(z) = k |1 - (x -3)2 ] 2154 otherwise (a) Select the correct graph of f(x). f(x) f(x) 1.0 f(x) 1.0 f(x) 1.0 0.8 1.0 0.8 0.8 0.6 0.8 0.6 0.6 0.6 0.4 0.4 0.4 0.4 0.2 0.2 0.2 0.2 2.0 2.5 X O 3.0 3.5 4.0 4.5 AO 2.0 2.5 X 3.0 3.5 4.0 4.5 X A O 2.0 2.5 3.0 3.5 4.0 4.5 2.0 X 2.5 3.0 3.5 4.0 4.5 (b) Find the value of k. (c) What is the probability that the actual tracking weight is greater than the prescribed weight? (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) 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.)