A sample prepared for a chemical measurement is completed correctly by 22% of the lab technicians, completed with minor error by 73% and completed with a major error by 5%. round your answers to three decimal places.
a.if a technicial is selected randomly to complete the preparation what is te probability it is completed without error?

The probability is defined as the possibility of an event is equal to the ratio of the number of favorable outcomes and the total number of outcomes.

Given that,

The percentage of sample prepared for a chemical measurement is completed without error = 22%

The percentage of sample prepared for a chemical measurement is completed with minor error = 73%

The percentage of sample prepared for a chemical measurement is completed with major error = 5%

Let, The number of sample prepared for a chemical measurement is completed without error = 22x

The number of sample prepared for a chemical measurement is completed with minor error = 73x

The number of sample prepared for a chemical measurement is completed with major error = 5x

Total number of outcomes of possibility = 22x + 73x + 5x

Total number of outcomes of possibility = 100x

The number of favorable outcomes = 22x

The required probability = favorable outcomes/ total outcomes

The required probability = 22x/100x

The required probability = 22/100

The required probability = 0.22

Hence, the probability of sample prepared for a chemical measurement is completed without error is 0.22

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