A professor of statistics noticed that the marks in his
course are normally distributed. He also noticed that
his morning classes average 73% with a standard
deviation of 9% on their final exams.
His afternoon classes average 79% with a standard
deviation of 12%.
A. What is the probability that a randomly selected student
in the morning class has a higher final exam mark than a
randomly selected student from an afternoon class?
Probability =
B. What is the probability that the mean mark of
four randomly selected students from a morning class
is greater than the average mark of four randomly
selected students from an afternoon class?
Probability =
You can earn partial credit on this problem.