Answer to Question #330927 in Statistics and Probability for diana john

Question

Common Entrance are usually graded out of 150 marks. The education officers of one of the education districts, knows that the mean score in the district is 80 with a standard deviation of 20. The students’ scores follow a normal distribution. There are 500 students in the district who sat the Common Entrance Exam.

3) The education officer has promised to provide scholarships to the students in the district whose performance are in the top 1%.

i) What score separates the top 1% of students from the bottom 99% ?

ii)How many students are eligible to receive the scholarship?