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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 per minute.
a. What is the probability that a randomly selected sixth-grade student reads less than 98 words per minute
b. What is the probability that a randomly selected sixth-grade student reads more than 135 per minute?
c. What is the probability that a randomly selected sixth-grade student reads between 105 and 140 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 195 per minute? Explain why.
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