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 $5 on this exam? The probability that a student scored below 95 is 0 9823 (Round to four decimal places as needed ) b What is the probability that a student scored between 70 and 1017 The probability that a student scored between 70 and 101 is 9.8341. (Round to four decimal places as needed.) c. I he probability is 9%% that a student taking the test scores higher than what grade? This prototally is 5% that a shaded lacking the: keel sammes higher than 94 (Round for the mostcul inlogos as noxkond ) d If the parolessee grades on a carve (for example, the professor could give A's to the top 10% of the class, regardless of the save), is a stateni ballet off with a grade of 80 on the exun with a moan of 79 and a standard deviation of 9 at a grade of 73 on a different exam, where the mean is 65 and the standard deviation is 47 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 # because the Z value for the grade of 88 is | | and the Z value for the grade of 73 on the different exam is (Round to two decimal places as negdod )