Four-Thousand Entering Freshmen at Downtown University Take a Mathematics Proficiency

Short Answer

Four-thousand entering freshmen at Downtown University take a mathematics proficiency test. The mean of the test is 60 with a standard deviation of 10; scores are normally distributed.
(a) The university has decided to place students who earned a score of 72 or better into honors math. How many students will be placed in honors math?
(b) The university has decided to place the bottom 30% into remedial math. What score must be earned to avoid being placed into remedial math?
(c) How many students earned a score between 45 and 55?