Question

in a factory that manufactures tires, a machine responsible for molding the tire has a failure rate of 0.2%. If 1,000 tires are produced in a day, of which 6 are faulty, what is the difference between the experimental probability and the theoretical probability?

Answer 1

Answer:

0.004 or 0.4%

Step-by-step explanation:

We have been given that the failure rate of machine is 0.2%.

Hence, the theoretical probability is 0.2/100 = 0.002

Now, it has been given that out of 1000 tires 6 are defective.

Therefore, the experimental probability is given by 6/1000=0.006

Hence, the difference between the experimental probability and the theoretical probability is

0.006 - 0.002

= 0.004 or 0.4%

Answer 2

Okay, so let's find the actual failure rate first. 6/1000 times 100 (to give over a 100%) equals to 0.6. The actual failure rate is 0.6%. The theoretical probability is 0.2% 0.6-0.2=0.4. The difference is 0.4%. 
Hope that helped!