3 (a). Probability of a student being a doctorate if he is a male

= no of male doctorate/total number of males

=87/1569

=0.055

b) No since, it can be easily seen from the table that females have higher number of degrees than male in every degree.

4) Probability of products that are good

= probability of good/(probability of good+probability of slightly diffective)

= 90/(90+2)

=0.978

5)a) Probability of three bits being corrupted = 0.1/3(1/12 + 1/11+1/10) = 0.0091

b) Proabity that atleast one bit is corrupted = 1- probability that no bit is corrupted

= 1- 0.9/12

=0.925

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