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?

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Mathematics

Mcdaniel

1 November, 21:06

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?

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Savanna Ellis · Answer 1

It is known that there is a 0.2% failure rate from the machine. This what is considered to be the theoretical probability. In a day, 1000 tires were produced and 6 of them are faulty. That means in percentage form, the calculated experimental probability is 100 x (6/1000) = 0.6%. That means, there is a 0.6% - 0.2% = 0.4% difference.