Question

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?

Answer 1

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.

Answer 2

The conditional probability is not equal to the population probability.

We have given that,

Male and Female Total

Income over    $55,000   475   375   850

Income below     $55,000   75    75    150

Total                                      550  450  1,000

What is the meaning of conditional probability?

conditional probability is a measure of the probability of an event occurring, given that another event has already occurred.

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.

To learn more about the probability visit:

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