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anonymous

  • one year ago

A teacher designs a test so a student who studies will pass 85% of the time, but a student who does not study will pass 11% of the time. A certain student studies for 86% of the tests taken. On a given test, what is the probability that student passes? FINITE MATH

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  1. amistre64
    • one year ago
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    what is our sample space of events?

  2. amistre64
    • one year ago
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    study, and pass or not study, and pass

  3. amistre64
    • one year ago
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    how do we calculate the probability of each event in the sample space?

  4. kropot72
    • one year ago
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    This can be solved by the use of a probability tree: |dw:1443932148840:dw| \[\large P(S \cap P)=0.86\times0.85\] \[\large P(NS \cap P)=0.14\times0.11\] The required probability is therefore given by: \[\large P(S\cap P)+P(NS \cap P)=you\ can\ calculate\]

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