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?\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?\na. 0.4%\nb. 0.2%\nc. 0.6%\nd. 1%

Answer

Answer:

A. 0.4%

Explanation:

Step1: Calculate theoretical probability

The theoretical failure rate is given as (0.2%).

Step2: Calculate experimental probability

Experimental probability (P=\frac{\text{Number of faulty tires}}{\text{Total number of tires}}\times100%). Here, number of faulty tires ( = 6), total number of tires (=1000). So (P=\frac{6}{1000}\times 100%=0.6%).

Step3: Calculate the difference

Difference (=| \text{Experimental probability}-\text{Theoretical probability}|). (=|0.6% - 0.2%|=0.4%).