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quiz2solns

# quiz2solns - STA 4321/5325 — Spring 2010 Quiz 2 —...

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Unformatted text preview: STA 4321/5325 — Spring 2010 Quiz 2 — January 29 Name: There are ﬁve problems in this quiz. Each problem has exactly one correct answer. Problem 1 The probability that ’I‘raver eats breakfast and gets to work on time is 0.2. The probability that he eats breakfast is 0.4. If Traver eats breakfast, what is the probability that he is on time for work? A ._. EV a“? MTMO- Codi ‘ kw l’ (a) 0.6 = emf tiara!" Trad-Cl sci-5 to work, era-Hm. ‘ (b) 0-2 Ana-g ENAM- tho»? Trevo- (pets Rabies} W321: he Wk on ‘l‘m’VL’ (C) 0'08 ?Q\n€>) : o .L / FUR): 0-9 .m ' - FLﬁ06)_ 0-2— 0J7, High) 176%) Mi Problem 2 Let A and B be two independent events such that P(A) = 0.4 and P(B) = 0.6. Then P(A n B) is equal to 17 «whoa a} wwwma, mars): r (a) PC%) (a) 1 (b) 0.2 '=: o.q-xo.g = Wm ((51) 0.67 Problem 3 If A and B are mutually exclusive and independent events, then it is always true that (a) P(A) = o and 12(3) = 0 ’91 Human 9;} mumi7 cumin, An e — 31> g? Jejﬁnﬁtoq if laJLfCﬂaqutcl mag)=an).P(6} (c) P(A) = 0.5 and P(B) = 0.5 (d) P(A) = P(B) Problem 4 Let A and B be two events. Remember that the set E denotes the complement of the set B. Then P(B|A) + P(B|A) is equal to (a) PM) ' gnTs=74 E? 13,75 :5 9 Fave“ .9;ka (c) 0 mm) +MQCT)- (d) 1 . _ z _ 5 F(BIH)tP(EIA)— an) HA) RA) Problem 5 Let A and B be two independent events in sample space S. Then P(A n B) = P(A|B)P(B]S) This statement is - Are: ‘IW'Ml'é PCR).~PL6}=.F(HAG) (b) False . F Ls) :1. P (rams)e 19(R13)~V(3l5) z PLANS) . men)? 14%) FCS‘) zpm-QQ‘); ﬁ’Lﬁ) W L : m) .m)‘ ,7 We) gm) Pm) ...
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quiz2solns - STA 4321/5325 — Spring 2010 Quiz 2 —...

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