Suppose that the score in a qualifying exam for a certainprofession is normally distributed with mean 80 and standarddeviation 36. Use Excel to find the following probabilities:
b) Find the probability that a student gets a score between 50and 100.
c) To get an A, a student must score in the top 8%. What is theminimum score needed to get an A?
d) Find the probability that the average score in a sample of 60students is between 50 and 100?
e) Graph the distributions of the random variable in c) and d)and explain why the answers in b) and d) are different.
Please answer using excel functions.