Assume that 12 jurors are randomly selected from a population in which 78% of the people are Mexican-Americans. Refer to the probability distribution table below and find the indicated probabilities. xx P(x)P(x) 0 0+ 1 0+ 2 0+ 3 0.0001 4 0.001 5 0.0057 6 0.0236 7 0.0717 8 0.1589 9 0.2503 10 0.2663 11 0.1717 12 0.0507 Find the probability of 8 or fewer Mexican-Americans among 12 jurors. P(x≤8)=
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
Assume that 12 jurors are randomly selected from a population in which 78% of the people are Mexican-Americans. Refer to the
xx | P(x)P(x) |
---|---|
0 | 0+ |
1 | 0+ |
2 | 0+ |
3 | 0.0001 |
4 | 0.001 |
5 | 0.0057 |
6 | 0.0236 |
7 | 0.0717 |
8 | 0.1589 |
9 | 0.2503 |
10 | 0.2663 |
11 | 0.1717 |
12 | 0.0507 |
Find the probability of 8 or fewer Mexican-Americans among 12 jurors.
P(x≤8)=
![Assume that 12 jurors are randomly selected from a
population in which 78% of the people are Mexican-
Americans. Refer to the probability distribution table below
and find the indicated probabilities.
P(x)
0+
1
0+
2
0+
3
0.0001
4
0.001
0.0057
6
0.0236
7
0.0717
8
0.1589
0.2503
10
0.2663
11
0.1717
12
0.0507
Find the probability of exactly 6 Mexican-Americans among
12 jurors:
P(n = 6) = 0.0236
This value comes directly from the table.
Find the probability of 6 or fewer Mexican-Americans among
12 jurors.
To do this, we need to add all the probabilities from 6 and
below:
P(n < 6) = 0.0304
Practice Problem
Find the probability of 8 or fewer Mexican-Americans among
12 jurors.
P(x < 8) =
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