There are three passing grades A, B and C in an examination. Candidates who score more than 75 marks will achieve grade A, candidates who score 61 to 75 marks will achieve grade B while candidates who score 50 to 60 marks will achieve grade C. It is assumed that the marks are normally distributed with a mean of 52 and a standard deviation of 18. (c) (i) Find the probability that a randomly selected candidate will pass the examination but fail to score grade A. If 30 candidates sit for the examination, find the probability that there will be between 13 and 16 candidates fail the examination. (ii)
There are three passing grades A, B and C in an examination. Candidates who score more than 75 marks will achieve grade A, candidates who score 61 to 75 marks will achieve grade B while candidates who score 50 to 60 marks will achieve grade C. It is assumed that the marks are normally distributed with a mean of 52 and a standard deviation of 18. (c) (i) Find the probability that a randomly selected candidate will pass the examination but fail to score grade A. If 30 candidates sit for the examination, find the probability that there will be between 13 and 16 candidates fail the examination. (ii)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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