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A population of scores forms a normal distribution with a mean of μ = 40 and a standard deviation of σ =12.
a. What is the probability of randomly selecting a score less than X = 34?
b. What is the probability of selecting a sample of n = 9 scores with a mean less than M = 34?
c. What is the probability of selecting a sample of n = 36 scores with a mean less than M = 34?
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