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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?

Solution

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

Type	Caucasians	African American	Hispanic	Asian	Total
O +	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%