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sample of size 38 will be drawn from a population with mean 48 and standard deviation 10. (a) Is it appropriate to use the normal

sample of size 38 will be drawn from a population with mean 48 and standard deviation 10.

(a) Is it appropriate to use the normal distribution to find probabilities for the sum?

(b) If appropriate find the probability that the sum will be between 49 and 50.

(c) If appropriate find the 42nd percentile of the sum

Round the answer to at least two decimal places.

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