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quiz5_sol - MATH230 Spring 2008 Name K6 C9 Quiz 5 Blue...

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Unformatted text preview: MATH230 Spring 2008 Name: K6 C9 Quiz 5 Blue Discussion Section: 20 21 22 23 Closed book, closed notes. (circle one) T 8:00 T 9:00 R 8:00 R 9:00 SHOW ALL WORK. 30 31 32 33 T 10:00 T 9:00 R 9200 R 11:00 ﬂ-f Pr(r successes) = C (n, r) p’ (1 — p) Questions 1, 2: A box has 5 good oranges and 4 rotten ones. Two oranges are selected simultaneously and at random. A random variable X is deﬁned to be the number of rotten oranges selected. 1. 2 points What are the possible values of X? 0/1,; 2. 4 points Find the density function of X. x Pray, C(q/L) T 36 c(t<,!)rCC\$7() \ 20 CW - a Z C(7/Z’) ‘ 35 3. 4 points The probability that a certain tennis player will serve an ace is .65. What is the probability that she will serve exactly 3 aces out of 4 serves? Pr(s acca) = 6069(6) 30"“?! “ .327? MATH230 Spring 2008 Name: Q ( 0 Quiz 5 Green Discussion Section: 20 21 22 23 Closed book, closed notes. (circle one) T 8:00 T 9:00 R 8:00 R 9:00 SHOW ALL WORK. 3O 31 32 33 T 10:00 T 9:00 R9:00 R 11:00 ‘Pr(r successes) = C(n, r) p’ (l — p)” 1. 4 points The probability that a certain tennis player will serve an ace is .25. What is the probability that she will serve exactly 2 aces out of 5 serves? Pr(2qm)= C(S,2)(.z\$)2(/~,25)3 = ,2637 Questions 2, 3: A box has 4 good oranges and 3 rotten ones. Two oranges are selected simultaneously and at random. A random variable X is deﬁned to be the number of rotten oranges selected. 2. 2 oints What are the possible values of X? P o, t, 2. 3. 4 points Find the density function of X. «em-cam) _ J: ((7,1) 2! div-CW) : 13 l CC7,2.) 2" MATH230 Spring 2008 Name: [4471 Z 40 Quiz 5 Canary Discussion Section: 20 21 22 23 Closed book, closed notes. (circle one) T 8:00 T 9:00 R 8:00 R 9:00 SHOW ALL WORK. 30 31 32 33 T 10:00 T 9:00 R9200 R 11:00 Pr(r successes) = C(n,r)p’ (1 — p)“ Questions 1, 2: A box has 6 good oranges and 5 rotten ones. Two oranges are selected simultaneously and at random A random variable X is deﬁned to be the number of rotten oranges selected. 1. 2 points What are the possible values of X? 2. 4 points Find the density function of X. 3. 4 points The probability that a certain tennis player will serve an ace is .55. What is the probability that she will serve exactly 2 aces out of 3 serves? Pf<LQc¢3) 1 C(3,z).(‘5\$)"(1~,5\$‘) ( -‘— «L'fO‘S’ L7, MATH230 Spring 2008 Name: K4 / 0 Quiz 5 Pink Discussion Section: 20 21 22 23 Closed book, closed notes. (circle one) T 8:00 T 9:00 R 8:00 R 9:00 SHOW ALL WORK. ' 30 31 32 33 T 10:00 T 9:00 R 9:00 R 11:00 Pr(r successes) = C (n,r) p’ (1 — p)“ 1. 4 points The probability that a certain tennis player will serve an ace is .35. What is the probability that she will serve exactly 1 ace out of 3 serves? Pr(lqce): ((3,1)(,as)'(/—.3>~)”-: .HL/EL Questions 2, 3: A box has 7 good oranges and 4 rotten ones. Two oranges are selected simultaneously and at random. A random variable X is deﬁned to be the number of rotten oranges selected. O/l/Z 2. 2 points What are the possible values of X? 3. 4 points Find the density ﬁmction of X. Z! I! 2% 55 ...
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