6.86 Errors in filling prescriptions A large number of preventable errors (e.g., overdoses, botched operations, are being made by doctors and nurses in misdiagnoses) U.S. hospitals. A study of a major metropolitan hospital revealed that of every 100 medications prescribed or dis- pensed, 1 was in error, but only 1 in 500 resulted in an error that caused significant problems for the patient. It is known that the hospital prescribes and dispenses 60,000 medications per year. a. What is the expected proportion of errors per year at this hospital? The expected proportion of significant errors per year? b. Within what limits would you expect the proportion of significant errors per year to fall?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 6E: List the sample space of each experiment. Tossing three coins
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6.86 Errors in filling prescriptions A large number of
preventable errors (e.g., overdoses, botched operations,
are being made by doctors and nurses in
misdiagnoses)
U.S. hospitals. A study of a major metropolitan hospital
revealed that of every 100 medications prescribed or dis-
pensed, 1 was in error, but only 1 in 500 resulted in an
error that caused significant problems for the patient. It
is known that the hospital prescribes and dispenses 60,000
medications per year.
a. What is the expected proportion of errors per year at
this hospital? The expected proportion of significant
errors per year?
b. Within what limits would you expect the proportion of
significant errors per year to fall?
Transcribed Image Text:6.86 Errors in filling prescriptions A large number of preventable errors (e.g., overdoses, botched operations, are being made by doctors and nurses in misdiagnoses) U.S. hospitals. A study of a major metropolitan hospital revealed that of every 100 medications prescribed or dis- pensed, 1 was in error, but only 1 in 500 resulted in an error that caused significant problems for the patient. It is known that the hospital prescribes and dispenses 60,000 medications per year. a. What is the expected proportion of errors per year at this hospital? The expected proportion of significant errors per year? b. Within what limits would you expect the proportion of significant errors per year to fall?
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