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MathematicsMathematics
20 September, 08:51

A survey of 1,000 men and women asked, "Do you earn over $55,000 per year?" The table below shows the responses for males and females:

Male Female Total

Income over $55,000 475 375 850

Income below $55,000 75 75 150

Total 550 450 1,000

Based on these data, are "being male" and "earning over $55,000" independent events?

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Answers (2)
  1. 20 September, 10:05
    0
    The answer is A, because Men represent 55% of survey respondents, but they represent 475/850 = 56% of those with higher incomes. The answer options include an explanation which says that the conditional probability is not equal to the population probability.
  2. 20 September, 11:08
    0
    No, P (being male | the person earns over $55,000) ≠ P (being male)
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Home » Mathematics » A survey of 1,000 men and women asked, "Do you earn over $55,000 per year?" The table below shows the responses for males and females: Male Female Total Income over $55,000 475 375 850 Income below $55,000 75 75 150 Total 550 450 1,000 Based on
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