Question

On average 20% of the calculators produced in a factory are faulty. Samples of 10 calculators are to be selected at a random each day. Each calculator will be selected and replaced in the set of calculators which have been produced on that day. Calculate the probability that in any one sample, two calculators or less will be faulty.

Answer 1

The probability that in any one sample, two calculators or less will be faulty is; 100%

Probability and Random sampling

According to the task content;

• A statement of fact indicates that; 20% of the calculators produced in a factory are faulty.

Hence, it follows that, when a sample of 10 calculators is selected randomly each day, 2 of the calculators are faulty by proportion.

Ultimately, the probability that in any one sample, two calculators or less will be faulty is; 100%.

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