4. A box contains a total of 100 CDs that were manufactured on two machines. The following table gives the number of defective and good CDs manufactured on these two machines. Machine A Machine B Total Defective 10 5 15 Good 55 30 85 Total 65 35 100 (a) If one CD is selected at random from the box, is that very high chance to select a good CD which is manufactured by machine A? Explain. (b) Determine the probability that a randomly selected CD is either defective or it is not manufactured by machine B. What is its relation with the probability of selecting a good CD which is manufactured by machine B? (c) Are the events "defective" and "manufactured by Machine B" independent? Justify your answer.
4. A box contains a total of 100 CDs that were manufactured on two machines. The following table gives the number of defective and good CDs manufactured on these two machines. Machine A Machine B Total Defective 10 5 15 Good 55 30 85 Total 65 35 100 (a) If one CD is selected at random from the box, is that very high chance to select a good CD which is manufactured by machine A? Explain. (b) Determine the probability that a randomly selected CD is either defective or it is not manufactured by machine B. What is its relation with the probability of selecting a good CD which is manufactured by machine B? (c) Are the events "defective" and "manufactured by Machine B" independent? Justify your answer.
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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Transcribed Image Text:4. A box contains a total of 100 CDs that were manufactured on two machines. The following table
gives the number of defective and good CDs manufactured on these two machines.
Machine A
Machine B
Total
Defective
10
5
15
Good
55
30
85
Total
65
35
100
(a) If one CD is selected at random from the box, is that very high chance to select a good CD
which is manufactured by machine A? Explain.
(b) Determine the probability that a randomly selected CD is either defective or it is not
manufactured by machine B. What is its relation with the probability of selecting a good CD
which is manufactured by machine B?
(c) Are the events "defective" and "manufactured by Machine B" independent? Justify your
answer.
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