In a railway reservation office, two clerks are engaged in checking reservation forms. On an average, the first clerk checks 55% of the forms, while the second checks the remaining. The first clerk has an error rate of 0.03 and second has an error rate of 0.02. A reservation form is selected at random from the total number of forms checked during a day, and is found to have an error. Find the probability that it was checked by the second clerk.
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Answer:
6/17
Step-by-step explanation:
the first clerk checks 55% of the forms
error rate of 0.03
Chances of error = 0.55*0.03 = 0.0165
second clerk checks 100-55 = 45%
error rate of 0.02
Chances of error = 0.45 * 0.02 = 0.009
A reservation form is selected at random from the total number of forms checked during a day, and is found to have an error
probability that it was checked by the second clerk = 0.009 /(0.009 + 0.0165) =
90/255
= 18/51
= 6/17
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