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anonymous

  • one year ago

Consider the following scenario: • Let P(C) = 0.2 • Let P(D) = 0.3 • Let P(C | D) = 0.4 Find P(D | C) Find P(C AND D).

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  1. anonymous
    • one year ago
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    First you want to find C and D, which is the same as D and C

  2. anonymous
    • one year ago
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    \[ \Pr(C|D ) = \frac{\Pr(\underbrace{C\cap D}_{C\text{ and } D})}{\Pr(D)} \]

  3. anonymous
    • one year ago
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    This equation gets manipulated into: \[ \Pr(C|D)\cdot \Pr(D) = \Pr(C\cap D) \]

  4. anonymous
    • one year ago
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    wait so "|" is the same as saying "and?"

  5. anonymous
    • one year ago
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    No, \[ \Pr(\underbrace{C|D}_{C\text{ if/given }D}) \]

  6. anonymous
    • one year ago
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    oh okay right

  7. anonymous
    • one year ago
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    so it would be 0.12?

  8. triciaal
    • one year ago
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    |dw:1436240223932:dw|

  9. triciaal
    • one year ago
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    |dw:1436240600971:dw|

  10. anonymous
    • one year ago
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    Yes, \(0.12\) works for C and D

  11. anonymous
    • one year ago
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    Divide that by \(\Pr(C)\) to get \(\Pr(D|C)\).

  12. misty1212
    • one year ago
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    \[P(C|D)=\frac{P(C\cap D)}{P(D)}=\frac{P(C\cap D)}{.3}=.4\to P(C\cap D)=03\times .4=.12\]

  13. misty1212
    • one year ago
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    then \[P(D|C)=\frac{P(C\cap D)}{P(C)}=\frac{.12}{.2}\]

  14. anonymous
    • one year ago
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    oh cool makes sense thanks

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