Consider the distribution of test scores in Mr. Everett's class to be normally distributed with mean 78 and standard deviation 2. Ms. Mavis' class distribution is also normal with mean 75 and standard deviation 0.5. a. What is the variance for each class? b. What proportion of Mr. Everett's students will have a score between 76 and 80? c. What proportion of Ms. Mavis' students will have a score between 74.5 and 76? d. Franklin, in Mr. Everett's class, has a score of 79.8. What is the z-score for this value? e. Nalla, in Ms. Mavis' class, has a score of 78. What is the z-score for this value? f. Who did better relative to their class, Nalla or Franklin? g. State and interpret the 84th percentile in Mr. Everett's class.