Answer part c and d frq styled 1. The University of North Carolina Chapel Hill received over 42,000 application forundergraduate admission for the 2019-2020 school year. Of those applicants, only 4,180 waccepted and enrolled for the school year. The high school GPA of those incoming freshmen has aNormal distribution with a mean of 4.39 and a standard deviation of o.586. [Data collected frompublicly available reports at oira.unc.edu]A. Calculate the probability that a single randomly selected student has a high school GPA of4.00 or less.B. A school counselor surveyed an SRS of 50 incoming freshman from that same school year.Calculate the mean and standard deviation of the sampling distribution of for samples ofsize n=50. Interpret the standard deviation and be sure to check any relevant conditions.C. What is the shape of the distribution described in part b? Justify your answer.D. The counselor in part B obtained a sample mean of 4.0. Calculate the probability that arandom sample of 50 students produces a sample mean at or below the counselor's samplemean.

Question

Accepted Answer

B.
According to the central limit theorem, if the sample size is sufficiently large, i.e., n =30 or…