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The final quiz in this course will be graded according to the following procedure: With probability 4/7 the exam is graded by a TA, with probability 2/7 it is graded by the instructor, and with probability 1/7, it is arbitrarily given a score of 84. TAs score an exam by scoring each problem individually and then taking the sum. There are ten true/false questions worth 2 points each. For each, full credit is given with probability 3/4, and no credit is given with probability 1/4. There are four questions worth 15 points each. For each, the score is determined by rolling two fair dice, summing the results, and adding 3. The single 20 point question is awarded either 12 or 18 points with equal probability. The instructor scores an exam by rolling a fair die twice, multiplying the results, and then adding a "general impression score. With probability 4/10, the general impression score is 40. With probability 3/10, the general impression score is 50. With probability 3/10, the general impression score is 60. . Assume all random choices during the grading process are indepen- dent. (A) What is the expected score on an exam graded by a TA