a construction project, the amount of material used in a day’s construction is either 100 units or 200 units, with the corresponding probabilities of 0.60 and 0.40. If the amount of material required in a day is 100 units, the probability of shortage of material is 0.10, whereas if the amount of material required is 200 units, the probability of shortage of material is 0.30. What is the probability of shortage of material in a given day? If there is shortage of material in a given day, what is the probability that the amount of material required that day is 100 units?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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t a construction project, the amount of material used in a day’s construction is either 100 units or 200 units, with the corresponding probabilities of 0.60 and 0.40. If the amount of material required in a day is 100 units, the probability of shortage of material is 0.10, whereas if the amount of material required is 200 units, the probability of shortage of material is 0.30. What is the probability of shortage of material in a given day?
If there is shortage of material in a given day, what is the probability that the amount of material required that day is 100 units?

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