Edexcel S2 2015 January — Question 7

Exam BoardEdexcel
ModuleS2 (Statistics 2)
Year2015
SessionJanuary
TopicApproximating Binomial to Normal Distribution
TypeFind minimum/maximum n for probability condition

7. A multiple choice examination paper has \(n\) questions where \(n > 30\) Each question has 5 answers of which only 1 is correct. A pass on the paper is obtained by answering 30 or more questions correctly. The probability of obtaining a pass by randomly guessing the answer to each question should not exceed 0.0228 Use a normal approximation to work out the greatest number of questions that could be used.