A set of final examination grades in an introductory statistics course is normally distributed, with a mean of 79 and a standard deviation of 9. Complete parts (a) through (d). a What is the probability that a student scored below 95 on this exam? The probability that a student scored below 95 is 0.9623 (Round to four decimal places as needed ) b. What is the probability that a student scored between 70 and 101? The probability that a student scored between 70 and 101 is 0.8341 (Round to four decimal places as needed.) c. The probability is 5% that a student taking the test scores higher than what grade? The probability is 5% that a student taking the test scores higher than 94 (Round to the nearest integer as needed.) d. If the professor grades on a curve (for example, the professor could give A's to the top 10% of the class, regardless of the score), is a student better off with a grade of 88 on the exam with a mean of 79 and a standard deviation of 9 or a grade of 73 on a different exam, where the mean is 65 and the standard deviation is 4? Show your answer statistically and explain. A student is better off with a grade of 88 on the exam with a mean of 79 and a standard deviation of 9 because the Z value for the grade of 88 is s and the Z value for the grade of 73 on the different exam is]. (Round to two decimal places as needed )