Thread: Help needed setting up a word problem

The word problem is as follows:

A company makes stereo components. Defects in their manufacture are independent of one another. Quality control studies show that:

2% of CD players are defective
3% of amplifiers are defective
7% of speakers are defective

A system consists of a CD player, and amplifiers and two speakers. What is the probability that the entire system is not defective? (If events are independents then so are their complements.)



Thanks in advance for the help.

Originally Posted by videodrone

the word problem is as follows:

A company makes stereo components. Defects in their manufacture are independent of one another. Quality control studies show that:

2% of cd players are defective
3% of amplifiers are defective
7% of speakers are defective

a system consists of a cd player, and amplifiers and two speakers. What is the probability that the entire system is not defective? (if events are independents then so are their complements.)



thanks in advance for the help.

(0.98)(0.97)(0.93) = ....

(0.98)(0.97)(0.93)^2 = ....

Not sure why I thought it would be more complicated, but thanks for the help