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Born MGF 1106 Fall 2017 Ret 7213 Homework: Section 12.4 Normal Distribution Scor

ID: 3326762 • Letter: B

Question

Born MGF 1106 Fall 2017 Ret 7213 Homework: Section 12.4 Normal Distribution Score: 0 of 1 pt 12.4.25 Martha Luz Bozn & 1 12/21/17 10:23 AM HW Score: 89 47%, 17 of 19 pts Scores on the GRE (Graduate Recoed Examination) are normally distributed with amean of $53 percentage of people taking the test who score between 333 and 553 ) and a standard deviation of 110 Use the 68-55-99 7 Rude to Snd the The percentage of people taking te test who score benemand 553 iD% npts Enter your answer in the answer box and then cick Check Answer All parts showing I Clear Al 12/21/2017

Explanation / Answer

According to the empirical rule, 95% of the observations lies within one two standard deviations of the mean. Now 333 could be written as:

333 = 553 - 2*110 that is two standard deviations below mean.

Now due to symmetry, as 95% of the observations lies within 2 standard deviations on both sides of mean combined, therefore 95/2 = 47.5% of the observations lies within 2 standard deviations from mean on either side. Therefore 47.5% of the observations lies from 333 to 553 .

Therefore 47.5% is the required answer here.

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