Question
In a railway reservation office, two clerks are engaged in checking reservation forms. On an average, the first clerk (A1) checks 55% of the forms, while the second (A2) checks the remaining. While A1 has an error rate of 0.03, that of A2 is 0.02. A reservation form is selected at random from the total number of forms checked during a day and is discovered to have an error. Find the probabilities that it was checked by A1 and A2, respectively.
Answer :
Word Count : 264
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To solve this problem, we can use Bayes' theorem to calculate the probabilities. Let's define the events:
A1 = The form was checked by clerk A1.
A2 = The form was checked by clerk A2.
E = The form has an error.
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