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CAIE A-Level Mathematics A2 6.4.4 Normal Distribution Questions

Practise modelling a sample mean from a normal population with unchanged mean and variance σ²/n, then standardising it to calculate probabilities for sample averages.

Syllabus
2028–2030
Course
Mathematics 9709
Level
A2

CAIE A-Level Mathematics A2 6.4.4 Normal Distribution Questions question 1

[Maximum number: 3]

A random variable X has the distribution N(410,400).
Find the probability that the mean of a random sample of 36 values of X is less than 405.

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