Solving problem N4048 Bayesian probability theory

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4048. The shop receives the same type of products from three factories, with the 1st plant supplying 10% of the products, the 2nd plant - 50%, the 3rd plant - 40%. Among products of the 1st plant, 70% are top-notch, among products of the 2nd - 90%, of the 3rd - 80%. Bought one product. It turned out to be first-rate. Determine the probability that the purchased product is produced by the 1st plant.

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  • Content type File
  • Content description 27,5 kB
  • Updated on the site 26.02.2019
Detailed solution. Decorated in Microsoft Word 2003 (Quest decided to use the formula editor)

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Solving problem N4048 Bayesian probability theory
1 Sold <10
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Cumulative discount

30 $ the discount is 10%
20 $ the discount is 7%
18 $ the discount is 6%
15 $ the discount is 5%
12 $ the discount is 4%
9 $ the discount is 3%
6 $ the discount is 2%
3 $ the discount is 1%
Check your discount

Amount of purchases from the seller:  $

Your discount:  %

Cumulative discount

30 $ the discount is 10%
20 $ the discount is 7%
18 $ the discount is 6%
15 $ the discount is 5%
12 $ the discount is 4%
9 $ the discount is 3%
6 $ the discount is 2%
3 $ the discount is 1%
Check your discount

Amount of purchases from the seller:  $

Your discount:  %

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