Define the normal distribution and hence state three properties of the
normal distribution. (5 marks)
b) In a competitive examination of 5000 students, the marks of the
examinees in statistics were found to be distributed normally with mean
45 and standard deviation 14. Calculate the number of examinees whose
marks out of 100 were;
i. Less than 30. (4 marks)
ii. More than 40. (4 marks)
iii. Between 60 and 80. (5 marks)
c) What is the relationship between normal and binomial probability
distribution? (2 marks)

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The detailed answer for the above question is provided below a The normal distribution is a continuo... View the full answer