What is the reliability that bank loans will be processed accurately if each of
ID: 417616 • Letter: W
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What is the reliability that bank loans will be processed accurately if each of the five clerks shown in the chart has the reliability shown?
What is the reliability that bank loans will be processed accurately if each of the five clerks shown in the chart has the reliability shown?
Bookshelf Onl × Chapter 5 Exe e Financial Stat x e The Controlle x-e The Records- x-e For Each Of TX · Stgtealh Secure | https://online.vitalsource.com/#/books/9780134616322/cfi/6/1 6481/4/2/6/16/2/4/2@0:78.9 ::: AppsASUS E Service fn Yorkville Education Iran021.net Iran Vl[ J Serial Eshgh az no t Netflix 1 Serial Pikar tars 1 Serial Daste sarneve 17.9 What is the reliability that bank loans will be processed accurately if each of the five clerks shown in the chart has the reliability shown? 0.95 0.95 0.95 0.95 0.95 17.10 Merril Kim Sharp has a system composed of three components in parallel. The components have the following reliabilities: R.-0.90, R2-0.95, R3-0.85Explanation / Answer
Answer to Question 17.9 :
Reliability of the subsystem when two clerks are connect in series ( in middle row ) = 0.95 x 0.95 = 0.9025
We now move to bigger subsystem in which following units are connected in PARALLEL;
-Unit with reliability 0.95
-Above subsystem with reliability 0.9025
- Unit with reliability 0.95
Reliability of this bigger subsystem
= 1 – ( 1 – 0.95) x ( 1 – 0.9025) x ( 1 – 0.95)
= 1 - ( 0.05 x 0.0975 x 0.05)
= 1 -0.000243
= 0.99975
We are now at the last stage when we have a simplified system consisting of following in SERIES:
Reliability of the above bigger subsystem 0.99975
Unit with reliability of 0.95
Thus, reliability that the bank loans will be processed = 0.99975 x 0.95 = 0.94976
RELIABILITY THAT THE BANK LOANS WILL BE PROCESSED ACCURATELY = 0.94976
RELIABILITY THAT THE BANK LOANS WILL BE PROCESSED ACCURATELY = 0.94976
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