Please help me with the solution to the problems posted as attachment. Thank you in advance.

For the past ten years, grades on the final exam in Mr. Statman's statistic course have been normally distributed with a mean of p = 7'5 and a standard deviation of o = '15. Mr. Statman has a current class with 50 students. Let us predict some outcomes on the nal exam for that class. a) Draw a normal distribution. Include the mean and two standard deviations. Complete this sentence using the Empirical Rule: Approximately. 95% of students will score between and on the nal exam. b} Shade in the A range {9:} and above) on your distribution in part a. Find the probability that a randomly selected student makes an A on Mr. Statman's nal exam. How many of the 50 students do we expect to make an A? c] Suppose that we randomly select 5 students from the class and AVERAGE their nal exam scores. The Central Limit Theorem indicate that the average of the 5 students will fall somewhere in a Normal Distribution with = _ and = _. Complete this sentence using the Empirical Rule: Approximately. 95% of the time the average of 5 random students will fall between _ and _ on the nal exam. d} Find the probability that the average of the 5 students is an A average {90 and above). e]: Let's do the same thing that we did in parts c and d, except for the entire class of 50. The Central Limit Theorem indicate that the average of the 50 students will fall somewhere in a Normal Distribution with = _ and = _. Complete this sentence using the Empirical Rule: Approximately, 95% of the time the average of 50 random students will fall between _ and _ on the nal exam. f) Find the probability that the average of the 50 students is an A average {90 and above}. g} Find the following probabilities (you redoing parts by d, and fr but with a C instead of an A}: A] P{a randomly selected student makes a C on the nal exam) 2 _ B) P{a sample of 5 randomly selected students make a C average of the nal exam] = _ C) P(the class average of all 50 students will be a C average) h) Discuss what you have learned from this exercise