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Category > Statistics Posted 20 May 2017 My Price 5.00

Consider a sample space comprising three possible outcomes

 

Consider a sample space comprising three possible outcomes w1, w2, w3. Event A,B are denoted as follows: A = {w1,w2} and B = {w2,w3}. We know that the probability of the event A occurring is 0:5 and the probability of event B occurring is 0:75. What is the probability of event C = {w2}?
 
 

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Status NEW Posted 20 May 2017 07:05 AM My Price 5.00

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file 1495266390-Answer.docx preview (83 words )
C-----------ons-----------ide-----------r a----------- sa-----------mpl-----------e s-----------pac-----------e c-----------omp-----------ris-----------ing----------- th-----------ree----------- po-----------ssi-----------ble----------- ou-----------tco-----------mes----------- w1-----------, w-----------2, -----------w3.----------- Ev-----------ent----------- A,-----------B a-----------re -----------den-----------ote-----------d a-----------s f-----------oll-----------ows-----------: A----------- = -----------{w1-----------,w2-----------} a-----------nd -----------B =----------- {w-----------2,w-----------3}.----------- We----------- kn-----------ow -----------tha-----------t t-----------he -----------pro-----------bab-----------ili-----------ty -----------of -----------the----------- ev-----------ent----------- A -----------occ-----------urr-----------ing----------- is----------- 0:-----------5 a-----------nd -----------the----------- pr-----------oba-----------bil-----------ity----------- of----------- ev-----------ent----------- B -----------occ-----------urr-----------ing----------- is----------- 0:-----------75.----------- Wh-----------at -----------is -----------the----------- pr-----------oba-----------bil-----------ity----------- of----------- ev-----------ent----------- C -----------= {-----------w2}-----------? -----------Oct----------- 23----------- 20-----------14 -----------09:-----------45 -----------AM ----------- An-----------swe-----------r -----------P(A----------- = -----------{w1-----------,w2-----------}) -----------= 0-----------.5 -----------= P-----------(w1-----------) +----------- P(-----------w2)----------- P(-----------B -----------= {-----------w2,-----------w3}-----------) =----------- 0.-----------75Â----------- = -----------P(w-----------2) -----------+ P-----------(w3-----------), -----------Als-----------o w-----------e k-----------now----------- P(-----------w1)----------- + -----------P(w-----------2)Â----------- + -----------P(w-----------3)
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