I have a questions Id likes some guidance with and the steps I should take in order to correctly answer the question.

a)If you believe that final grades were randomly distributed following the uniform distribution, how many students do you expect to fail the course next year? Explain your reasoning

.b)Explain and conduct a check of the data, which has to make use of a chart, to see if the assumption of a uniform distribution for the final grades is valid. If not, determine a more appropriate distribution for the final grades, including deriving the mean and standard deviation. Then use this information to calculate the probability that a student might fail this course next year.

Pass grade is 50% and total number of students is 520.

189 Students work with a mean grade of 66.58

331 Students do not work with a mean grade of 62.903

Mean of whole data set is 64.24

Std of whole data set is 16.30