Assume that 12 jurors are selected from a population in which 50% of the people
ID: 3251997 • Letter: A
Question
Assume that
12
jurors are selected from a population in which
50%
of the people are Mexican-Americans. The random variable x is the number of Mexican-Americans on the jury.
x
0
1
2
3
4
5
6
7
8
9
10
11
12
P(x)
0.0000.000
0.0030.003
0.0160.016
0.0540.054
0.1210.121
0.1930.193
0.2260.226
0.1930.193
0.1210.121
0.0540.054
0.0160.016
0.0030.003
0.0000.000
a. Find the probability of exactly
6
Mexican-Americans among
12
jurors. P(6)=
b. Find the probability of
6
or fewer Mexican-Americans among
12
jurors
x
0
1
2
3
4
5
6
7
8
9
10
11
12
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0.0000.000
0.0030.003
0.0160.016
0.0540.054
0.1210.121
0.1930.193
0.2260.226
0.1930.193
0.1210.121
0.0540.054
0.0160.016
0.0030.003
0.0000.000
Explanation / Answer
a)
The probability of exactly 6 Mexican-Americans among the jurors is 0.226.
b)
The probability of 6 or fewer Mexican-Americans among the jurors is 0.000+0.003+0.016+0.054+0.121+0.193+0.226=0.613.
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