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

Question

Mathematics

Dillan Meyers

22 August, 20:47

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

+1

Answers (1)

Know the Answer?

Roderick Newman · Answer 1

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)