Question

The following table uses data from the U.S. Census Bureau from 2007 and 2012. The table considers business owners aged 25-64 with paid employees and breaks those individuals down by race and gender. Note: This not not include all racial or ethnic groups and gender categories were restricted to those asked on the census.

	Male	Female	Total
White	2933198	855200	3788398
Asian American	283538	126328	409866
Hispanic	188130	67079	255209
Black	60439	38609	99048
American Indian	17557	7759	25316
Total	3482862	1094975	4577837

Question 1

Calculate P(Male|Asian American).

Question 2

Is a business being black owned independent of gender? Use calculations like those we have done in examples to back up your claim.

Group of answer choices

Yes, because P(black) is equal to P(black|male).

Yes, because P(black) is not equal to P(black|male).

No, because P(black) is equal to P(black|male).

No, because P(black) is not equal to P(black|male).

Answer 1

	Male	Female	Total
White	2933198	855200	3788398
Asian American	283538	126328	409866
Hispanic	188130	67079	255209
Black	60439	38609	99048
American Indian	17557	7759	25316
Total	3482862	1094975	4577837

1) P(Male|Asian American) = P(Male and Asian american) / P ( Asian american)

  P(Male|Asian American) = (283538 / 4577837) / (409866 / 4577837)

  P(Male|Asian American) = 283538 / 409866 = 0.6918

  P(Male|Asian American) = 0.6918

2) No, because P(black) is not equal to P(black|male).

P(black) = 99048 / 4577837 = 0.0216

P(black/ male) = 60439 / 3482862 = 0.0174