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2.4.8 Normal distribution as a model (A-level only)

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Question 50

A fair four-sided die is labelled with the numbers 1, 2, 3 and 4. The die is rolled 50 times and the score, SSS, for each roll is recorded.

a.

Find the mean and the variance of SSS.

[3]
b.

Using the Central Limit Theorem, find an approximation for the probability that the mean of the 50 scores is greater than 2.8.

[4]

2.4.8 Normal distribution as a model (A-level only) Questions

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