A study categorized 1000 randomly selected persons from a population by Race and
ID: 3300853 • Letter: A
Question
A study categorized 1000 randomly selected persons from a population by Race and genotype for a particular gene. The resulting data are given in the table below..
Race
A
B
C
D
genotype
A/A
200
120
25
50
A/a
125
40
80
100
a/a
75
10
125
50
Use the information in the above table to determine the probabilities below.
Pr(race A) =
Pr(genotype a/a) =
Pr(race A| not race C or D) =
Pr(A/A| race A) =
Pr(not a/a | not race A or B) =
Pr(race C | A/A) =
Pr(A/A or a/a) =
Pr(A/A or a/a | not race B or race C) =
Race
A
B
C
D
genotype
A/A
200
120
25
50
A/a
125
40
80
100
a/a
75
10
125
50
Explanation / Answer
The complete table will be:
So the probabilites will be:
P(Race A) = 400/1000 = 0.40
P(a/a) = 260/1000 = 0.26
P(A | Not C or D) = 400/570 = 40/57 = 0.7018
P(A/A | A) = 200/400 = 0.50
P(not a/a| Not A or B) = 175/430 = 35/86
P(C| A/A) = 25/395 = 5/79
P(A/A or a/a) = (395 + 260)/1000 = 0.655
P(A/A or a/a| Not B or C) = 425/650 = 17/26
A B C D Total A/A 200 120 25 50 395 A/a 125 40 80 100 345 a/a 75 10 125 50 260 Total 400 170 230 200 1000Related Questions
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