For a recent English exam,use the Normal model N(73,9.2) to find the percent of scores over 85.Round to the nearest tenth of a percent.

A) 88.5%
B) 90.3%
C) 9.7%
D) 8.1%
E) 11.5%

Question

For a recent English exam,use the Normal model N(73,9.2) to find the percent of scores over 85.Round to the nearest tenth of a percent.A) 88.5%B) 90.3%C) 9.7%D) 8.1%E) 11.5%

Victor Galayda · Accepted Answer

Final Answer : C, Explanation :   To find the percent of scores over 85, we first calculate the z-score:   z = 85 − 73 9.2 = 12 9.2 ≈ 1.304 z = \frac{85 - 73}{9.2} = \frac{12}{9.2} \approx 1.304 z = 9.2 85 − 73 ​ = 9.2 12 ​ ≈ 1.304  . Looking up this z-score in a standard normal distribution table or using a calculator, we find that the area to the right (which represents the percentage of scores over 85) is approximately 9.7%.

For a recent English exam,use the Normal model N(73,9.2) to find the percent of scores over 85.Round to the nearest tenth of a percent.

A) 88.5%
B) 90.3%
C) 9.7%
D) 8.1%
E) 11.5%

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