l\'roblem 3 \"fall «nidents in a univenry are local of the local stulents 15% st

Question

l'roblem 3 "fall «nidents in a univenry are local of the local stulents 15% study science, while E cdomly slexted sniktsg iesce what is the 737, of the probalbdiny that he he/she is s Q,1 Pm] T he unresity has in stine a kge mmber of uied ctm ,tten Ris knowel that 51% of these compters have 500 GB hard disks, 41r% ofthe coespulers lure GB RAM and lone hrve , 500 GB lard dak and a 4 GB RAM, A computerchosen at tandem fremthe univery "mrr. a) What i che probahility chat z has a 4 GB RAM bor eot 500 GB hoed didk b) What is the probability that it has neither a 4 GB RAM moE 500 GB hand disk Pape 6 of 8

Explanation / Answer

Ans:

Given that

P(local)=0.85

P(overseas)=1-0.85=0.15

P(science/local)=0.15

P(science/overseas)=0.75

So,

P(science)=P(science/local)*P(local)+P(science/overseas)*P(overseas)

=0.15*0.85+0.75*0.15=0.24

P(local/science)=P(science/local)*P(local)/P(science)

=0.15*0.85/0.24=0.53125

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