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Problem: The reading speed of sixth-grade students is approximately normal, with a mean speed of one hundred twenty five words per minute and a standard deviation of twenty words per minute.
a. What is the probability that a randomly selected sixth-grade student reads less than ninety eight words per minute
b. What is the probability that a randomly selected sixth-grade student reads more than one hundred thirty five words per minute?
c. What is the probability that a randomly selected sixth-grade student reads between 105 and one hundred forty words per minute?
d. The bottom 5% must attend an enrichment program in reading. How fast, in words per minute, must a student read so as not to be included in the enrichment program?
e. Would it be unusual for a sixth-grader to read more than one hundred ninety five words per minute? Explain why.
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