20. A box contains a total of 100 DVDs that were manufactured on two m

1.	20. A box contains a total of 100 DVDs that were manufactured on two machines. ofthem, 60 were manufactured on Machine t. of the total DVDs, 15 are defective. ofthe 60 DVDs thatLet D be the event that a randomly selected DVD is defective, and let A be theevent that a randomly selected DVD was manufactured on Machine I.were manufactured on Machine I, 9 are defective.Are events D and A independent?
Answer» P(A and D) = P(A)P(D\|A) Is P(D \| A) = P(D) ? P(D\|A) = 9/60 = 3/20 P(D) = 15/100 = 3/20

20. A box contains a total of 100 DVDs that were manufactured on two machines. ofthem, 60 were manufactured on Machine t. of the total DVDs, 15 are defective. ofthe 60 DVDs thatLet D be the event that a randomly selected DVD is defective, and let A be theevent that a randomly selected DVD was manufactured on Machine I.were manufactured on Machine I, 9 are defective.Are events D and A independent?

Answer»

P(A and D) = P(A)P(D|A)

Is P(D | A) = P(D) ?

P(D|A) = 9/60 = 3/20

P(D) = 15/100 = 3/20