(ii) Find the total probability of committing an error in processing the form.

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Total probability of committing an error = Probability Jayant processes the form × Jayant’s error rate + Probability Sonia processes the form × Sonia’s error rate + Probability Oliver processes the form × Oliver’s error rate = 50% × 0.06 + 20% × 0.04 + 30% × 0.03 = 5/10 × 0.06 + 2/10 × 0.04 + 3/10 × 0.03 = 0.030 + 0.008 + 0.009 = 0.047

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo