Question

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

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)

Answer 2

I agree with the answer below/above