Four statistical questions need detailed answer , THx

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  • Multiple-choice statistics question 28 on normal distribution quartiles: Tiffany uses z for area 0.75 to find quartiles 78 plus or minus 12.4z, with answer options A through E.
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  • Scanned multiple-choice problem 40 with a regression ANOVA table for freshman grade average versus admissions test score, showing slope coefficient -0.004447, t-ratio -1.26, p-value 0.208, and answer options (A) through (E).
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  • Scanned textbook problem 4 with two two-way preference tables: first order C then P gives C 61, P 41, total 102; second order P then C gives C 45, P 60, total 105; asks whether preference depends on tasting order.
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  • Printed multiple-choice question 29: an individual randomly places 3 X's on a blank tic-tac-toe board; asks the approximate probability of three in a row. Options (A) 9.5%, (B) 1.2%, (C) 7.1%, (D) 33%, (E) 16%.
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(29) A "tic-tac-toe board" has 9 positions. There are 9 places to put the first "X", then 8 places to put the next, and then 7 places to put the last: there are total of 9(8)(7)= 504 possible configurations for 3 "X"s on the board. How many of those have all three "X"s in the same vertical column? How many have all three in the same horizontal row? How many diagonal are there?