Problem 3 QI: Ijm, Suppose 85% of all studen 75% of the overseas students study

Question

Problem 3 QI: Ijm, Suppose 85% of all studen 75% of the overseas students study sciences. If a randomly probabality that he/she is a local? ts in a university are local. Of the local students 15% study sciences while selected student is studying science what is the have 500 GB hard disks, 40% of the computers have 4 GB RAM. A computer is chosen at random from the university store. universary has in store a large number ofused computers. It is known that 51% of these computers RAM and 100 have a 500 GB hard disk and a 4 GB (a) What is the probabality that it has a 4 GB RAM but not 500 GB hard diski (b) What is the probability that it has neither a 4 GB RAM nor a 500 GB hard disk?

Explanation / Answer

1) P(study science) =P(private and study science+overseas student and study science)

=0.85*0.15+(1-0.85)*0.75 =0.24

hene probability of local given study science =P(private and study science)/P(study science) =0.85*0.15/0.24

=0.53125

2)let event A =having 500 GB hard disk and B =havng 4 GB RAM

therefore P(A) =0.51 ; P(B) =0.40

P(A N B) =0.10

a) probability of 4 GB RAM and not 500 GB hard disk =P(B)-P(A n B) =0.40-0.10 =0.30

b) P(have neither) =1-P(have at least one) =1-(P(A)+P(B)-P(A nB) ) =1-(0.51+0.4-0.1)=0.19

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