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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.

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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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