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BSP2014 Tutorial]1 1) Let P(A)-0.4 and P(AuB)-0.6 i) For what value of P(B) are if A and B mutually exclusitve? ii) For what value of P(B) are if A and B independent? 2) There are total of 400 Beta students registered in Financial Engineering for Cyberjaya and Melaka campus. The table below represents the tabulation of students according to their gender and c ampus. MelakaIL) Cyberjaya(C)Total 180 60 Male(M) Total 140 400 If a student is selected randomly, find the probability that i) the student is a male ii) the student is from Cyberjaya campus iii) the student is a male given that he is from Cyberjaya campus iv) the student is female g v) the student is female or from Melaka campus iven that she is from Melak a campus 3) Two cards are drawn from 52 cards. Find probability that they are both Kings if the first card is i) replaced ii) not replaced 4) A math teacher gave her class two tests. 65% of the class passed the first test given that they also passed the second test. The percentages that the class passed the first test and second test are 70% and 50% respectively i) What is the probability for those who passed both tests? ii) What is the probability for those who passed the second test given that they passed the first test? iii) What is the probability for those who passed first test or second test?

math   Statistics-And-Probability   
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Le, (i) A and Bare mutually exclusive hnd (i) A and A and s are independ s are independert 15 0.4 + KB)(1,-0.4) 今 0.62N Totat student400 Weete the given table fnst Melaka (ML) yejaya( Total eco Table 2. Femal()12o Mole ()140 Total l 80 80 22 O 26 O 140 As tho owsums and column suns add ub to 400, e can easidy complete the table. P(M) oPL he student is a male] 220-1 . 40020 (from the table Table 23) 20 400 Cyber Cra PCe) 40/ 400 Meleka Campur 12ơ 13 P(ML) 26400 =120十260 120 . . = 320-9 00 40400400 53 a 2 cards are draian rom 52 Cards cards are Both cardん one- xb9,1 tirst card in epace l6 2. (射や. 52 L Here, I card ís selected z-on 4 Kr9s. hen placed tpain is seleced frtm p〔Both cards ate king if the test and 7) 52 2. 52 6) ays.henem the ivaining is selesked in ()as 4 Let T Raisiry fust test 飞: Passing second test Poasig fust test PL] ob. of ssivg secord test Given that ) (T)--70 . , , P(互)-SO 100 l0ostudents 0 C-Passin both tstk) 65 5o = 0.325 (ms oo o0 Stulentstho pasel the second test , Jiven that thet passed the fist tst) i PStudent ased it or »d tea loo 100

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