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)
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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