A dairy production farm has three milk processing plants: Plant I produce 20%, Plant II produces...
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A dairy production farm has three milk processing plants: Plant I produce 20%, Plant II produces 50% and Plant III produces 30% of the total milk produced altogether. Assume that the plants are independent, and the percentages of different milk varieties in each plant are summarized in the table below, answer the questions below. Plant I (PI) Plant II (PII) Plant III (PIII) Full-Fat (FF) milk percentage 40 25 30 Low-Fat (LF) milk percentage 30 35 40 Skimmed milk (SM) percentage 30 40 30 a) If a bottle of milk is selected randomly from the output of the dairy farm, what is the probability that it is not produced in Plant I? [3 marks] b) If a bottle of milk is selected randomly from the output of the dairy farm, what is the probability that it is a Low-Fat milk and produced not in Plant 1? [5 marks] c) If a bottle of milk is selected randomly from the output of the dairy farm, what is the probability that it is Skimmed Milk? [6 marks] d) Given that a bottle selected randomly is Skimmed milk, what is the probability that it is processed in Plant I? [3 marks] A dairy production farm has three milk processing plants: Plant I produce 20%, Plant II produces 50% and Plant III produces 30% of the total milk produced altogether. Assume that the plants are independent, and the percentages of different milk varieties in each plant are summarized in the table below, answer the questions below. Plant I (PI) Plant II (PII) Plant III (PIII) Full-Fat (FF) milk percentage 40 25 30 Low-Fat (LF) milk percentage 30 35 40 Skimmed milk (SM) percentage 30 40 30 a) If a bottle of milk is selected randomly from the output of the dairy farm, what is the probability that it is not produced in Plant I? [3 marks] b) If a bottle of milk is selected randomly from the output of the dairy farm, what is the probability that it is a Low-Fat milk and produced not in Plant 1? [5 marks] c) If a bottle of milk is selected randomly from the output of the dairy farm, what is the probability that it is Skimmed Milk? [6 marks] d) Given that a bottle selected randomly is Skimmed milk, what is the probability that it is processed in Plant I? [3 marks]
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Related Book For
Income Tax Fundamentals 2013
ISBN: 9781285586618
31st Edition
Authors: Gerald E. Whittenburg, Martha Altus Buller, Steven L Gill
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