A certain factory operates three different shifts. Over thelast year, 200 accidents have occurred at the factory.Some of these can be attributed at least in part to unsafeworking conditions, whereas the others are unrelated toworking conditions. The accompanying table gives thepercentage of accidents falling in each type of accident–shift category.ShiftUnsafe ConditionsUnrelated ConditionsDay10%35%Swing8%20%Night5%22%Suppose one of the 200 accident reports is randomlyselected from a file of reports, and the shift and type ofaccident are determined.a. What are the simple events?b. What is the probability that the selected accident wasattributed to unsafe conditions?c. What is the probability that the selected accident didnot occur on the day shift?

Name: A certain factory operates three different shifts. Over thelast year,
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Description: A certain factory operates three different shifts. Over thelast year, 200 accidents have occurred at the factory.Some of these can be attributed at least in part to unsafeworking conditions, whereas the others are unrelated toworking conditions. The

a) The simple events are 1) unsafe conditions, 2) unrelated conditions, 3) day shift, 4) swing…

Answered: A certain factory operates three…

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter12: Probability

Section12.3: Conditional Probability; Independent Events; Bayes' Theorem

Problem 82E

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A certain factory operates three different shifts. Over the
last year, 200 accidents have occurred at the factory.
Some of these can be attributed at least in part to unsafe
working conditions, whereas the others are unrelated to
working conditions. The accompanying table gives the
percentage of accidents falling in each type of accident–
shift category.

Shift	Unsafe Conditions	Unrelated Conditions
Day	10%	35%
Swing	8%	20%
Night	5%	22%

Suppose one of the 200 accident reports is randomly
selected from a file of reports, and the shift and type of
accident are determined.
a. What are the simple events?
b. What is the probability that the selected accident was
attributed to unsafe conditions?
c. What is the probability that the selected accident did
not occur on the day shift?

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