All rights reserved advanced placement program and ap

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Unformatted text preview: College Entrance Examination Board. All rights reserved. Advanced Placement Program and AP are registered trademarks of the College Entrance Examination Board. 3 AP® STATISTICS 2002 SCORING GUIDELINES (Form B) Question 1 (cont’d.) 4 Complete Response Four parts correct. 3 Substantial Response Three parts correct. 2 Developing Response Two parts correct. 1 Minimal Response One part correct. Copyright © 2002 by College Entrance Examination Board. All rights reserved. Advanced Placement Program and AP are registered trademarks of the College Entrance Examination Board. 4 AP® STATISTICS 2002 SCORING GUIDELINES (Form B) Question 2 Solution Part (a): P (everyone gets a seat) = P (X ≤ 38) = .46 + .30 + .16 = .92 OR = 1 – (.05 + .02 + .01) = .92 Part (b): Y = number of no shows y p(y) 0 .01 1 .02 2 .05 3 .16 4 .30 5 .46 E(Y) = 0(.01) + 1(.02) + 2(.05) + 3(.16) + 4(.30) + 5(.46) = 4.1 OR E(X) = 36(.46) + 37(.30) + 38(.16) + 39(.05) + 40(.02) + 41(.01) = 36.9 E(Y) = 41 – E(X) = 4.1 Part (c): P(X=36|not all seats are filled) = P (...
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