Solving problem N3915 Bayesian probability theory

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3915. On three machines with identical and independent conditions, parts of the same name are manufactured. On the first machine make 10%, on the second - 30%, on the third - 60% of all parts. The probability of each part to be faultless is 0.7, if it is made on the first machine, 0.8 - if on the second machine, and 0.9 - if on the third machine. The detail taken at random turned out to be faultless. Find the probability that it is made on 2 machines.

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  • Content type File
  • Content description 28,5 kB
  • Updated on the site 12.02.2019
Detailed solution. Decorated in Microsoft Word 2003 (Quest decided to use the formula editor)

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Solving problem N3915 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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