A computer consult ng tim presenty has bids out on three pr ects. Let A ?? arded

Question

A computer consult ng tim presenty has bids out on three pr ects. Let A ?? arded p o ect J .for L, 2, 3, and supp062 that A A1 probebiities, and explain in words the meaning of esch one. (ound your anowers to four decimal places) 0.23 e A2,-?. 26 P 43 O 28, A A1 1.42)-0.1L, ?, ? ?3)-0.0 P A2 n A )-0.09 A1 r142 As 0.01. Use the probabl bes gner above to compute the folo ing Expluin tris probablity i? words. This is the prohwhlity that the firm in awarded either project 1 or praject 2 fthe firm is swarded project 2, this is the chance they wil also be sarded prajec t the trm is awardsd project 1, this is the chance they nil also be aarded preect 2. This is the garohwhlity that the Firm in award oth po 1 and project 2 Explain ths probablity in words 0 This is the probablity that the frm is awarded rojects 1,2, ?nd J, ? This is the robab lity that the tim is ?warded 2t least one of the projects. (c) FA1 AIA Explain ths probablity in words Dt the trm is warded project i. this ts the chance they wil also be ?262rded at least one of the other two projects. Thia is the aroballity that thw fmis rd euj 1, 2, and3 This i5 the probablity that the firm i53warded et leset one of the projects. Df the frm is Morded at least one of projects 2 ??? 3. ths s trie Chance they wil also be o arded project 1. Expain Dha prebablity in wurd ? Dt the trm is ?warded at least two ot the projects. tns s the cnarice that they wil be awarded all three projects. This is the probab lity thet the Firm ic awarded st leset one of the projects ? This is the probablity tet tris frm is awardec projects . 2, and 3.

Explanation / Answer

a)

P(A2|A1) =P(A1 n A2)/P(A!)=0.4783

b)P(A2 n A3|A1)=P(A1 n A2 n A3)/P(A1)=0.0435

c)

P(A2 U A3 |A1)=(0.11+0.08-0.01)/0.23=0.7826

d)

P(A1 n A2 nA3|A1 u A2 u A3)=0.01/0.5=0.02

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