n a university entrance exam, the results in a certain subject are scaled so that the marks will be normally distributed with mean 100 and standard deviation 25. Students in the top 15% of the marks are awarded an A-grade; a B-grade is awarded to those in the next 10% of the marks. Using the provided list of z-scores, answer the questions below. P r(0 ≤ z ≤ 0.52) = 0.20, P r(0 ≤ z ≤ 0.67) = 0.25 P r(0 ≤ z ≤ 0.84) = 0.30, P r(0 ≤ z ≤ 1.04) = 0.35, P r(0 ≤ z ≤ 1.28) = 0.40, P r(0 ≤ z ≤ 1.64) = 0.45. (a) What is the cut-off mark for an A-grade? (b) What is the cut-off mark for a B-grade

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In a university entrance exam, the results in a certain subject are scaled so that the marks will be normally distributed with mean 100 and standard deviation 25. Students in the top 15% of the marks are awarded an A-grade; a B-grade is awarded to those in the next 10% of the marks. Using the provided list of z-scores, answer the questions below.

P r(0 ≤ z ≤ 0.52) = 0.20, P r(0 ≤ z ≤ 0.67) = 0.25

P r(0 ≤ z ≤ 0.84) = 0.30, P r(0 ≤ z ≤ 1.04) = 0.35,

P r(0 ≤ z ≤ 1.28) = 0.40, P r(0 ≤ z ≤ 1.64) = 0.45.

(a) What is the cut-off mark for an A-grade?

(b) What is the cut-off mark for a B-grade?

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