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In the sixth grade of a school there are 35 students. The school principal considers that...

In the sixth grade of a school there are 35 students. The school principal considers that the reading speed of the students has approximately a normal distribution, with an average speed of 125 words per minute and a standard deviation of 24 words per minute.

a. How many sixth graders will have a reading speed greater than 130 words per minute?

20 children

17 children

15 children

18 children

b. A child is selected at random. What is the probability that your reading speed is between 120 and 130 words per minute?

0.4168

0.1664

0.5832

0.1824

c. What must be the minimum reading speed for a sixth grader to be in the top 10% (90th percentile) of the class?

156 words per minute

150 words per minute

160 words per minute

159 words per minute

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