select the correct answer.\nin a factory that manufactures tires, a machine responsible for molding the tire…

select the correct answer.\nin 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?\n\na. 0.4%\nb. 0.2%\nc. 0.6%\nd. 1%

select the correct answer.\nin 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?\n\na. 0.4%\nb. 0.2%\nc. 0.6%\nd. 1%

Answer

Explanation:

Step1: Calculate theoretical probability

The theoretical failure rate is given as $0.2%=\frac{0.2}{100} = 0.002$.

Step2: Calculate experimental probability

The experimental probability of a tire being faulty is $\frac{6}{1000}=0.006 = 0.6%$.

Step3: Calculate the difference

The difference between the experimental and theoretical probabilities is $0.6%-0.2% = 0.4%$.

Answer:

A. 0.4%