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.