Question

Suppose there is indeed a 2% failure rate among all syringes. If you check 20 syringes chosen at random from among all syringes, what is the chance that you find at least 1 faulty syringe? (You may assume that syringes are chosen with replacement from a population in which 2% of syringes are faulty.)

Answer 1

Answer:

The chance that you find at least 1 faulty syringe is 0.4%.

Step-by-step explanation:

If we suppose that 2% of the population is faulty, we can say that 2 of 100 are faulty.

We use cross multiplication to get this chance of find at least 1 faulty if we  check 20 syringes.

100----0.02

20 -----?

?= (20 x 0.02)/100=0.004

That means 0.4%