Question

An office has 4 secretaries handling 20%, 60%, 15% and 5% respectively of the files of certain report. The probabilities that they misfile a report are respectively 0.05, 0.1, 0.1 and 0.05. (i)What is the probability that a report is misfiled?(ii)Find the probability that a misfiled report is caused by second secretary

Name: an office has 4 secretaries handling 20 60 15 and 5 respectively of the files of certain report the probabilities that they misfile a report are respectively 005 01 01 and 005 iwhat is the probability
Uploaded: 2021-11-07T18:59:29-08:00
Duration: 4 min 12 s
Channel: Steven Clarke
Description: an office has 4 secretaries handling 20 60 15 and 5 respectively of the files of certain report the probabilities that they misfile a report are respectively 005 01 01 and 005 iwhat is the probability

          An office has 4 secretaries handling 20%, 60%, 15% and 5% respectively of the files of certain
report. The probabilities that they misfile a report are respectively 0.05, 0.1, 0.1 and 0.05.
(i)What is the probability that a report is misfiled?(ii)Find the probability that a misfiled report 
is caused by second secretary

Added by Arjun S.

Discrete Mathematics and its Applications

Kenneth Rosen 8th Edition

Instant Answer

Solved by Expert Steven Clarke

11/07/2021

Step 1

Given probabilities of misfiling for each secretary: - Secretary A: 0.05 - Secretary B: 0.1 - Secretary C: 0.1 - Secretary D: 0.05 Calculate the overall probability of misfiling: \[ P(\text{Misfiling}) = (0.2 \times 0.05) + (0.6 \times 0.1) + (0.15 \times 0.1) + Show more…

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An office has 4 secretaries handling 20%, 60%, 15% and 5% respectively of the files of certain report. The probabilities that they misfile a report are respectively 0.05, 0.1, 0.1 and 0.05. (i)What is the probability that a report is misfiled?(ii)Find the probability that a misfiled report is caused by second secretary