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17 October, 23:00

A survey of 1,000 men and women asked, "Do you earn over $50,000 per year?" The table below shows the responses for males and females:

Male Female Total

Income over $50,000 485 385 870

Income below $50,000 65 65 130

Total 550 450 1,000

Based on these data, are "being male" and "earning over $50,000" independent events?

A) Yes, P (being male | the person earns over $50,000) ≠ P (being male)

B) Yes, P (being male | the person earns over $50,000) = P (being male)

C) No, P (being male | the person earns over $50,000) ≠ P (being male)

D) No, P (being male | the person earns over $50,000) = P (being male)

Will give a "Brainliest answer" to the first person to respond

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Answers (1)
  1. 18 October, 02:27
    0
    Male Female Total

    Income over $50,000 485 385 870

    Income below $50,000 65 65 130

    Total 550 450 1,000

    Probability of being male: 550/1000 = 0.55

    Probability of earning over $50,000: 870/1000 = 0.87

    0.55 x 0.87 = 0.4785

    Probability of being male and earning over $50,000: 485/550 = 0.8818

    C) No, P (being male | the person earns over $50,000) ≠ P (being male)
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