STAT 053-12 - Answers to Quiz 1

STAT 053-12 - Answers to Quiz 1 - NAME ht 1/1 £2; z. par-m...

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Unformatted text preview: NAME ht 1/1 £2; z. par-m Y STAT 53-12 Quiz 1 February 7, 2008 Circle your section @ 37 38 39 [Show the steps in your wok. It is not enough just to write down an answer without showing the calculations or explaining how you got the answer, as the case may be] (15)}. A college basketball team’s season will be considered “successful” if (and only if) the team finishes in the top three in its conference, or qualifies for the NCAA tournament, or both. The probability that the team’s season is considered “‘suCCessful” is 0.66. The probability that the team does not quatify for the NCAA tournament is 0.58 The probability that the team finishes the top three in its conference is 0.50. Determine whether the events “the team finishes in the top three in its conference” and “the team qualifies for the NCAA tournament” are independent or point out that there is insufficient information to determine this. A : Ettéfll— law} tram fistula in He tit-we tn El"; «we; E3: Event» lit-2 llama twirlift‘fls 1% Hi2 NCAA touvmtwwnl- AUR 1 Event it? lam/1‘s Smut/rt) ts QMSllit-Vfial H Sb‘(&'3§)u"l if v tie-7 0t 3?) W 135W Wang 0%, ‘ y PCB” 0-552 :3 Ma"): y, 13(85):: «~05? ': 054:2 :7 0’50 _ Q Am A at B Mama/it? r his It" a at a W mpmt um pans): pm», We) U412 Maths? Eula to; haw , 7 Was? -: PM) at We).— WM.) 056 :7 0'50 4’ 0‘42 -" W “" POD: 04"? "$7 Pmri-WK‘M : i— (Mixes, e T0559; lira. Co’lfl owe 'i‘fichrpamizmi' 2. Suppose that the probability is 0.7 that a coin lands I“heads”. Assume that tosses of the coin are independent. (5) (a) Find the probability that in 5 tosses of the coin there will be 3 heads followed by ‘2tails. T . T553 as; Tess Toe; Toss P‘mb lilal’ in 5 5559; com Lime will be 3 hails H- H “H H. .Wléri 53 2 tall; r. HHHHTT) 3221 u t . married) . aalt—PanaltituerW PM) W T 1' T 1' T _-: (agnoslzvrs)(Mme) (BONUS)(b) Find the probability that in 2 tosses of the coin, there will be (exactly) 1 head. S:{HH,HTI;TH,TT3 ‘ less less i 2. MW {in glasses Heel; Lam lime will be may ! mot @143 3: PM?) 9+ {)[THU ' ’ T 3-? amps) .+ Polite“) .I,’ iflhfzflb‘flb :1 (030 (a?) .+ (0'33503) ...
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This homework help was uploaded on 04/18/2008 for the course STAT 053 taught by Professor Balaji during the Spring '06 term at GWU.

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STAT 053-12 - Answers to Quiz 1 - NAME ht 1/1 £2; z. par-m...

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