garydesir1
garydesir1 garydesir1
  • 25-09-2019
  • Mathematics
contestada

How to find the probability? Please show your work. Thanks!

How to find the probability Please show your work Thanks class=

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LammettHash
LammettHash LammettHash
  • 25-09-2019

The event of the machine working is [tex]A\cap B\cap C\cap D[/tex], and since the components operate independently, we have

[tex]P(A\cap B\cap C\cap D)=P(A)P(B)P(C)P(D)[/tex]

so just multiply the given probabilities together,

[tex]P(A\cap B\cap C\cap D)=0.99^2\cdot0.94\cdot0.93\approx0.8568[/tex]

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