The probability that the machine produces fewer than 3 defective widgets in a production run of 75 items is 0.041.
A probability refers to the ratio of favorable events to the n number of total events.
Also, it means the chance that a particular event (s) will occur expressed on a linear scale from 0 to 1 which can also be expressed as a percentage between 0 and 100%.
Given data
An industrial machine produces 3 widgets.
It has a 0.12 defective rate.
Defective rate fewer than 3
Total Probability = P of 2 defective + P for 1 defective
Total Probability = 2/74 + 1/73
Total Probability ≈ 0.04072565716
Total Probability ≈ 0.041
Therefore, the required probability for fewer than 3 defective rate is 0.041
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