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The reading speed of sixth-grade students is approximately normal with a mean speed of 125 words...

The reading speed of sixth-grade students is approximately normal with a mean speed of 125 words per minute and a standard deviation of 24 words per minute.
(Note: Labelled diagrams and proper notation are required for part a), b), c).)
a) What is the probability that a randomly selected student will read more than 130 words per minute? Interpret this probability.
b) What is the probability that the mean reading rate for a random sample of 12 sixth-grade students is more than 130 words per minute? Interpret this probability.
c) What is the probability that the mean reading rate for a random sample of 24 sixth-grade students is more than 130 words per minute? Interpret this probability.
d) Compare the probabilities in part b) and part c). What effect does increasing the sample size have on the probability?

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