(a) A candidate has a probability of 0.63 to pass a programming examination. Suppose that this candidate does not pass t
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(a) A candidate has a probability of 0.63 to pass a programming examination. Suppose that this candidate does not pass t
(a) A candidate has a probability of 0.63 to pass a programming examination. Suppose that this candidate does not pass the programming examination, the probability that he will pass the certified business analytic examination is only 0.10. On the contrary, if he passes the programming examination, the probability that he will pass that certified business analytic examination is 0.85. Find the probability that he will pass the certified business analytic examination. (6 marks) (b) Suppose that 5% of the thumb drives produced by a factory are defective. Find the probability that only 50 of 1000 randomly selected thumb drives produced by that factory are defective. (5 marks) (c) Given P(A)= 0.3 and P(B)=0.6. Suppose that A and B are independent, find (i) P(AUB) (5 marks) (ii) P(BOA) (4 marks) (iii) P(AB) (5 marks)
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