Question

The ABCD Electronics Company has just manufactured 7000 write-rewrite CDs, and 160 are defective. If 5 of these CDs are randomly selected for testing, what is the probability that the entire batch will be accepted?
Report the answer as a percent rounded to one decimal place accuracy. You need not enter the "%" symbol.
prob.

Answer 1

First, we must find what percent of 7,000 is 160.

To do this, let's do 160/7,000

160/7000 simplified is 4/75.

So, 4 out of every 75 CDs will be defective. If we want to find the probability of them all being affective, we must first do 71/75, because we subtracted the amount of defective CDs from the numerator.

Next week must multiply 71/75*71/75*71/75*71/75*71/75 to get the probability of 5 randomly selected ones being affective.

I got 1804229351/2373046875

If you divide this, you get 0.76030076354, so there is about a 76 percent chance of having all 5 randomly pulled be affective.

.Hope this helped! Comment if you have any questions!!!