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finite math

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The probability that a randomly selected individual in a country earns more than 75,000 per is 10.5%. the probability that a randomly selected individual in a country earns more than 75,000 per year, given that the individual has earned a bacholer’s degree is 21.5%. The events are “earned more than 75,000” and “earned a bacholer’s degree”. Are these events independent?

  • finite math -

    B=bachelor's degree
    H=high income

    P(H)=0.105
    P(H|B)
    =P(H∩B)/P(B)
    =0.215
    =>
    P(H∩B)=P(H|B)*P(B)
    =0.215*0.105
    >0
    So H and B are not independent.

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