Grades on an english test can be modeled as a normaldistribution with mean 80 and standard deviation 5.
A) if the english department is awarding students with testgrades in the top 5%, find the lowest grade a student needs toreceive the award.
B) A student is randomly selected from the class so thedistribution of this student's test grade is N(80,5), what is theprobability that this student scored above a 90?
C) What is the probability that the student in part b scoredexactly a 90?
D) If 5 students are randomly selected from the class. what isthe probability that exactly 3 of them scored above a 90?
E) If 20 students are randomly selected from the class what isthe probability that at least 12 of them scored above an 80?
