4.36 Stats final scores:Each year about 1500 students take the introductory statistics course at a large university. This year scores on the final exam are distributed with a median of 74 points, a mean of 70 points, and a standard deviation of 10 points. There are no students who scored above 100 (the maximum score attainable on the final) but a few students scored below 20 points. (a) Is the distribution of scores on this final exam symmetric, right skewed, or left skewed? (c) What is the probability that the average score for a random sample of 43 students is above 73? P(x>73)P(x>73)=Incorrect(please round to four decimal places) (d) What is the probability that the average score for a random sample of 43 students is below 67? P(x<67)=P(x<67)=Incorrect(please round to four decimal places) (e) What is the probability that the average score for a random sample of 43 students is between 68 and 79? P(68