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STAT 205 Name:__ANSWER KEY ______________ Fall 2006 Exam 1 s 2 = ) 1 ( ) ( 2 1 n y y i n i P{E 1 U E 2 } = P{E 1 } + P(E 2 } – P{E 1 ∩ E 2 } P{E 1 ∩ E 2 } = P{E 1 }P{E 2 | E 1 } μ Y = ∑y i P{Y = y i } σ Y 2 = ∑(y i – μ Y ) 2 P{Y = y i } = E(Y 2 ) – (E(Y)) 2 P{Y = j} = n C j p j (1 – p) n-j μ Y = np σ Y 2 = np(1 – p) Z = ) ( Y

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Part I: Answer six of the following seven questions. If you complete more than six, I will grade only the first six. Five points each. 1) P(A) = 0.2 P(B) = 0.40 A and B are independent. What is P(A∩B)? (0.2)(0.4) = 0.08 2) P(A) = 0.2 P(B) = 0.40 A and B are mutually exclusive. What is P(A B)? 0.2 + 0.4 = 0.6 3) P{A} = 0.8 P{A B} = 0.2 What is the probability of B given A? ±² ±³ ´ ±²µ 4) Circle the correct answer. In a breeding experiment, white chickens with small combs were mated and produced 190 offspring. Researchers observed the offspring to determine whether the offspring had White feathers, small comb White feathers, large comb Dark feathers, small comb Dark feathers, large comb The variable in this study is discrete / continuous / nominal / ordinal . 5)
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