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Question

5. Suppose out of the population of mean 70 and variance 100 we extracted random

samples of size 45 each with mean denoted by X.

[10 Marks]

a) Determine the mean and standard deviation for X.

b) What is the probability that X will be less than 65?

c) What is the probability that X will be greater than 72 but less than 75?

Fig: 1