yodevbro
Answered

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?


AYes, P(being male | the person earns over $50,000) ≠ P(being male)
BYes, P(being male | the person earns over $50,000) = P(being male)
CNo, P(being male | the person earns over $50,000) ≠ P(being male)
DNo, P(being male | the person earns over $50,000) = P(being male)

Will give a "Brainliest answer" to the first person to respond

Verified Answer :

meerkat18

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)



azikennamdi

Based on the date given "being male" and "earning over $50,000"  are NOT mutually exclusive events. That is "No, P(being male | the person earns over $50,000) ≠ P(being male)" (Option C)

What are mutually exclusive (or independent) events?

Two events are independent or mutually exclusive if they are distinct from one another and cannot alter the reaction of one another.

Calculation

  • 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

Thus, probability of being male and earning over $50,000

= 485/550

= 0.8818

Hence, we can state that  P(being male | the person earns over $50,000) ≠ P(being male)

Learn more about mutually exclusive events at;
https://brainly.com/question/27588497
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