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# quiz6_sol - MATH230 Spring 2008 Name[5 9/0 Quiz 6 Green...

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Unformatted text preview: MATH230 Spring 2008 Name: [5 9 /0 Quiz 6 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. , 30 31 32 33 T10200 T9:00 R9:00 R11200 E(X) = x1171 +x2p2 +--'+xkpk Var(X)=(x1—/1)2P1+(x2 #02122 +"‘+(xk #02ch E(X) = "P Var(X) = "PO-P) 1. 8 points In a lottery, 5000 tickets are sold for \$1 each. One ﬁrst prize of \$2000, 1 second prize of \$500, 3 third prizes of \$100, and 10 consolation prizes of \$25 are to be awarded. What are the expected n_et earnings (winnings — amount paid to play) of a person who buys one ticket? Le?!" X: Mi‘ Wlhmk .i l/gaoo 50 o ' / 50 0-6 {0'0 3/ S'Odb 25 ’0 have o ‘t QE'S/mﬁ 50K): /Q??(l/§an)4—7v('/5aao) Hﬂﬂsm) +1Y(’V/S‘W0)'/(¥?8’r/rowj 2 4337 2. 2 points The probability that a certain tennis player will serve an ace is .35. How many aces can he expect in 20 serves? K: ech m 20 serves B/bmﬁ/ ”=20 ["r.35 WNW,“ 24'”); 7 MATH230 Spring 2008 Name: )4 6.x / 0 Quiz 6 Blue Discussion Section: 20 21 22 23 Closed book, closed notes. (circle one) T 8:00 T 9:00 R 8200 R 9:00 SHOW ALL WORK. ' 30 31 32 33 T10:00 T9:00 R9:00 R11100 E(X) =x1p1 +x2p2 +---+xkpk Var(X) = (x. #02171 We #02172 +---+(xk -#)2pk E(X) = np Var(X) = np(1—p) 1. 2 points The probability that a certain tennis player will serve an ace is .45. How many aces can he expect in 405erves? X: ti QCES‘ I“ Lay WW5 B;’nom/y/ )1: Va ’0¢, L/f BOOM/o = 5’00va 2 (8 2. 8 points In a lottery, 4000 tickets are sold for \$1 each. One ﬁrst prize of \$2000, 2 second prizes of \$1000, 2 third prizes of \$500, and 15 consolation prizes of \$50 are to be awarded. What are the expected n_et earnings (winnings — amount paid to play) of a person who buys one ticket? Le-J- X: N‘!’ €9/m"’03 MATH230 Spring 2008 Name: 149 / 0 Quiz 6 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 T9200 R9:00 R 11:00 E(X)=xlpl +x2p2 +--~+xkpk Var(X)=(x1-#)2p1+(x2 -#)2p2 +-~+(xk -#)2pk E(X) = np Var(X) = np(1-p) 1. 2 points The probability that a certain tennis player will serve an ace is .25. How many aces can he expect in x: ﬂit—ace: M (ed W: Bmm/y/ 7):;60 ,0:,25‘ EMF/4,0: Lac/[,zsj = A" 2. 8 points In a lottery, 6000 tickets are sold for \$1 each. One ﬁrst prize of \$1500, 1 second prize of \$500, 2 third prizes of \$50, and 5 consolation prizes of \$10 are to be awarded. What are the expected n_e_t earnings (winnings — amount paid to play) of a person who buys one ticket? L2 f— X: Ni" ewfnmat 60 serves? MATH230 Spring 2008 Name: ’48 0 Quiz 6 Pink Discussion Section: 20 21 22 23 Closed book, closed notes. (circle one) T 8200 T 9:00 R 8:00 R 9:00 SHOW ALL WORK. 3O 31 32 33 T10100 T9200 R9200 R 11200 E(X) = xlpl +xzp2 +"'+xkpk Var(X) =(x1 _Au)2p1 +(x2 ‘#)2P2 +"'+(xk —#)2pk E(X) =np Var(X)=np(1-p) 1. 8 points In a lottery, 5000 tickets are sold for \$1 each. One ﬁrst prize of \$5000, 3 second prizes of \$1000, 3 third prizes of \$400, and 25 consolation prizes of \$50 are to be awarded. What are the expected n_et earnings (winnings — amount paid to play) of a person who buys one ticket? 500 = wm/mo) +???(3/5‘0duj + 37?(3/52900] + um (13751)“) ~ I ( wear/51w) = i"1,0? 2. 2 points The probability that a certain tennis player will serve an ace is .55. How many aces can he expect in 4OSCI'VCS? X: HQCCQ ,‘n ”V ms 8/7\va/ y): Lid Ion/53" EGO‘WJ = Lam: 21 ...
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quiz6_sol - MATH230 Spring 2008 Name[5 9/0 Quiz 6 Green...

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