In a history class, the grades for various assessments are all positive numbers and have different distributions. Determine whether the grades for each assessment could be normally distributed. Explain your reasoning.

(a) a midterm exam with a mean of 67, standard deviation of 15, and 75th percentile score of 77

(b) a final with a mean of 72, standard deviation of 9, and 90th percentile score of 93

(c) a quiz with a mean of 33, a 40th percentile of 30, and a 60th percentile of 39

(d) a homework assignment with a mean of 19, a 10th percentile of 7, and a 90th percentile of 31

(e) an extra credit assignment with a mean of 2.25 and a standard deviation of 2.49

(f ) a research paper with a 35th percentile of 120, a 65th percentile of 160, and an 80th percentile of 200