The reading speed of sixth-grade students is normal, with a mean speed of 125 words per minute and a standard deviation
Posted: Wed May 11, 2022 12:20 pm
The reading speed of sixth-grade students is normal, with a mean speed of 125 words per minute and a standard deviation of 24 words per minute. Note: For parts a)-e) Round your answer to four decimal places. (a) What is the probability that a randomly selected sixth-grade student reads less than 100 words per minute? (b) What is the probability that a randomly selected sixth-grade student reads more than 140 words per minute? (c) What is the probability that a randomly selected sixth-grade student reads between 110 and 130 words per minute? (d) Would it be unusual for a sixth-grader to read more than 200 words per minute? (yes, no) (e) What is the reading speed of a sixth-grader whose reading speed is at the 90th percentile? (Part (e) Hint: The number of words must be integer) Now use the Empirical Rule to answer the following and write your answer using the percent sign %: (f) Find the proportion of a randomly selected sixth-grade student reads less than 77 words per minute? (g) Find the proportion of a randomly selected sixth-grade student reads more than 149 words per minute?