Question 1048079: The following data represent the scores received on the 2015 SAT Mathematics Test, by gender:
Score Range Male Female
200 - 290 33,987 31,462
300 - 390 121,664 142,491
400 - 490 242,281 297,876
500 - 590 230,577 265,340
600 - 690 127,109 130,075
700 - 800 39,184 36,475
A. Compute the probability that a randomly selected female test taker scored higher than 500 in 2015.
B. Compute the probability that a randomly selected male test taker scored higher than 500 in 2015.
C. Compute the probability that a randomly selected test taker scored higher than 500 in 2015.
D. Could you just add parts a and b together to get part c? Why or why not?
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I'm having a problem understanding C if I'm using the General Addition Rule
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! The following data represent the scores received on the 2015 SAT Mathematics Test, by gender:
Score Range Male Female...Totals
200 - 290 33,987 31,462...65449
300 - 390 121,664 142,491..264155
400 - 490 242,281 297,876..540157
500 - 590 230,577 265,340..495917
600 - 690 127,109 130,075..257184
700 - 800 39,184 36,475...75659
Total..........794,802..903,719..1698521
A. Compute the probability that a randomly selected female test taker scored higher than 500 in 2015.::: (265340+130075+36475)/903719
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B. Compute the probability that a randomly selected male test taker scored higher than 500 in 2015.:::: (230577+127109+39184)/794802
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C. Compute the probability that a randomly selected test taker scored higher than 500 in 2015.::: (add the # of female and # of male students who
scored 500 or over)/1698521
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D. Could you just add parts a and b together to get part c? Why or why not?
Add the numerators but change the denominator to the sum of females and males
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Cheers,
Stan H.
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