Suppose a continuous probability distribution has an average of
μ=35 and a standard deviation of σ=16. Draw 100 times at random
with replacement from this distribution, add up the numbers, then
divide by 100 to get their average.
To use a Normal distribution to approximate the chance the average
of the drawn numbers will be between 30 and 40 (inclusive), we use
the area from a lower bound of 30 to an upper bound of 40 under a
Normal curve with its center (average) at __ and a spread (standard
deviation) of __ . The estimated probability is __
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