It is known that the yield of a chemical process is normally distributed with mean of 12 g/Kg and variance of 4-2(g/kg). a) What is the probability that the yield will exceed 10 g/Kg? [6 points] Solve part a) using R. Include the commands and the output. c) What is the probability that the yield will be at most 15 g/Kg? [6 points] Solve part c) using R. Include the commands and the output. What is the probability that the yield is between 9.5 g/Kg and 13.5 g/Kg? [6 points] Solve part e) using R. Include the commands and the output.