acutshaw31 acutshaw31

07-05-2024
Mathematics

Answered

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?

Answer :

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