A random sample of size 64 is taken from a normal population with = 51.4 and

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A random sample of size 64 is taken from a normal population with µ = 51.4 and σ = 6.8. What is the probability that the mean of the sample will
(a) Exceed 52.9;
(b) Fall between 50.5 and 52.3;
(c) Be less than 50.6?
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