In the production process of a company, 4 units of a certain input are used daily. It happens that the different formulations of this input can affect the yield of the process as well as the level of environmental pollution. On a given day the company has 40 units of this input in s

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In the production process of a company, 4 units of a certain input are used daily. It happens that the different formulations of this input can affect the yield of the process as well as the level of environmental pollution. On a given day the company has 40 units of this input in stock and they can be classified according to the table below:

Does it pollute the environment?
Speed up the production process?
Yes
not
Total
Yes
8
12
20
not
18
20
Total
10
30
40
Suppose the 4 units to be used that day will be randomly removed from the
inventory. How likely is it that:
a) No input that pollutes the environment is used?
b) At least one input that speeds up the production process is used?
c) At least one input that speeds up the production process is used, given that no input that
pollutes the environment was used?
d) No input that pollutes the environment is used, given that at least one input that
accelerates the production process was used?
Transcribed Image Text:Does it pollute the environment? Speed up the production process? Yes not Total Yes 8 12 20 not 18 20 Total 10 30 40 Suppose the 4 units to be used that day will be randomly removed from the inventory. How likely is it that: a) No input that pollutes the environment is used? b) At least one input that speeds up the production process is used? c) At least one input that speeds up the production process is used, given that no input that pollutes the environment was used? d) No input that pollutes the environment is used, given that at least one input that accelerates the production process was used?
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