Question

1. select the correct answer. 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? a. 0.4% b. 0.2% c. 0.6% d. 1%

Explanation:

Step1: Calculate experimental probability

The experimental probability $P_{exp}$ is the number of failures divided by the total number of tires produced. Given 6 failures out of 1000 tires, $P_{exp}=\frac{6}{1000}=0.6\%$.

Step2: Identify theoretical probability

The theoretical failure - rate is given as $P_{theo}=0.2\%$.

Step3: Calculate the difference

The difference $\Delta P$ between the experimental and theoretical probabilities is $P_{exp}-P_{theo}=0.6\% - 0.2\%=0.4\%$.

Answer:

A. 0.4%