Dynamic Corporation manufactures high-quality keyboards for desktop computers. They have three manufacturing facilities

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answerhappygod
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Dynamic Corporation manufactures high-quality keyboards for desktop computers. They have three manufacturing facilities

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Dynamic Corporation manufactures high-quality keyboards for desktop computers. They have three manufacturing facilities (A, B, C). The probability that the keyboard is produced in Plant A is 20%, in Plant B is 45%, and in Plant C is 35%. A keyboard produced in Plant A has a 10% chance of being defective. Meanwhile, keyboards produced in plant B and C produces defective keyboards 12% and 5% of the time, respectively.
a.) Draw a tree diagram
b.) What is the probability that a keyboard is defective?
c.)What is the probability that a keyboard is not defective given that it is produced in Plant C?
d.)Given that a keyboard is defective, what is the probability that it was produced in Plant B?
e.)If you are to sample 500 keyboards from the 3 facilities, approximately how many keyboards are produced from Plant A and are not defective?
f.) What probability concept is used?
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