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Katherine works at a grocery store and is assigned their daily duty by the shift manager in charge. When Kim is the shift manager, Katherine is assigned the cash register 85% of the time. When Sophia is the shift manager, Katherine is assigned the cash register 30% of the time. The probability that Kim is the shift manager is and the probability that Sophia is 3 the shift manager is. Determine the probability, to the nearest hundredth, that Katherine works the cash register.

Katherine works at a grocery store and is assigned their daily duty by the shift manager in charge. When Kim is the shift manager, Katherine is assigned the cash register 85% of the time. When Sophia is the shift manager, Katherine is assigned the cash register 30% of the time. The probability that Kim is the shift manager is and the probability that Sophia is 3 the shift manager is. Determine the probability, to the nearest hundredth, that Katherine works the cash register.

College Algebra (MindTap Course List)
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 50E: Medicine Out of a group of 9 patients treated with a new drug, 4 suffered a relapse. Find the...
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Katherine works at a grocery store and is assigned their daily duty by the shift manager in charge. When Kim is the shift manager, Katherine is assigned the cash register 85% of the time. When Sophia is the shift manager, Katherine is assigned the cash register 30% of the time. The probability that Kim is the shift manager is and the probability that Sophia is 3 the shift manager is. Determine the probability, to the nearest hundredth, that Katherine works the cash register.
Transcribed Image Text:Katherine works at a grocery store and is assigned their daily duty by the shift manager in charge. When Kim is the shift manager, Katherine is assigned the cash register 85% of the time. When Sophia is the shift manager, Katherine is assigned the cash register 30% of the time. The probability that Kim is the shift manager is and the probability that Sophia is 3 the shift manager is. Determine the probability, to the nearest hundredth, that Katherine works the cash register.
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