Question

A sample prepared for a chemical measurement is completed correctly by 21% of the lab technicians, completed with minor error by 70% and completed with a major error by 9%. Round your answers to three decimal places (e.g. 98.765).(a) If a technician is selected randomly to complete the preparation, what is the probability it is completed without error?(b) What is the probability that it is completed with either a minor or major error?

Answer 1

0.210 ; 0.790

Explanation:

Given that:

Percentage of correct completion by technician = 21%

Percentage of minor error = 70%

Major error in chemical measurement of sample = 9%

A.) probability that a randomly selected technician completes preparation without error:

This is equal to the percentage of correct completion by technicians :

P(correct completion) = 21% = 0.210

B.) probability that it is completed with either a minor or major error :

P(completion with minor error) + P(completion with major error)

= 70% + 9%

= 0.70 + 0.09

= 0.790