Visit httpp://www.redcrossblood.org/learn-about-blood/blood-types. Read about th
ID: 3383228 • Letter: V
Question
Visit httpp://www.redcrossblood.org/learn-about-blood/blood-types. Read about the ABO system. Scroll to the chart titled: "Blood Types and the Population."
1.) Explain why the table is a contingency table for a probability distribution.
2.) Explain what P(A+ | Hispanic) means and then calculate it.
3.) Explain what P(Rh- | Asian) means and then calculate it.
4.) Explain what P(B | Caucasian) means and then calculate it.
5.) Explain what P(African American and AB-) means and then calculate it. (research the percentage of African americans in the U.S)
6.) 5 Caucasians end up in the ER after a traffic accident. What is the probability all 5 are type O? At least one is not type O? All 5 are not type O? How many are expected to be type O?
Explanation / Answer
Caucasians
African American
Hispanic
Asian
O +
37%
47%
53%
39%
O -
8%
4%
4%
1%
A +
33%
24%
29%
27%
A -
7%
2%
2%
0.50%
B +
9%
18%
9%
25%
B -
2%
1%
1%
0.40%
AB +
3%
4%
2%
7%
AB -
1%
0.30%
0.20%
0.10%
This is a contigency table because the rows (blood types) and columns (race) are mutually exclusive and the corresponding cell values refers to percentages so this is a contignecy table for probability distribution.
P(A+ | Hispanic) means the chance of a person has blood type A+ among the Hispanic race =29% =0.29
P(Rh- | Asian) means the chance of an individual doesn't possess rh factor in the boold cells from the asian race.
= 1%+0.5%+0.4%+0.1%=2%=0.02
P(B | Caucasian) means the chance of an individual has blood type either B+ or B- from the caucasian race
=9%+2%=11%=0.11
P(African American and AB-) means the chance of a person with AB- group and an african american.
the approximate percentage of african american in US population is 12.2%.
P(African American and AB-)=0.3%*12.2% =3.66%=0.0366
TypeCaucasians
African American
Hispanic
Asian
TotalO +
37%
47%
53%
39%
176%O -
8%
4%
4%
1%
17%A +
33%
24%
29%
27%
113%A -
7%
2%
2%
0.50%
12%B +
9%
18%
9%
25%
61%B -
2%
1%
1%
0.40%
4%AB +
3%
4%
2%
7%
16%AB -
1%
0.30%
0.20%
0.10%
2% Totals 100% 100% 100% 100% 401%Related Questions
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