In a relative frequency contingency tables, joint probabilities are located insi
ID: 3256458 • Letter: I
Question
In a relative frequency contingency tables, joint probabilities are located inside the margins. For each row of joint probabilities, in the right margin and same row, sum the joint probabilities. These are the row marginal probabilities. They are called marginal probabilities because they are located in a margin of the table. For each column, in the bottom margin and same column, sum the joint probabilities down the column. If the table has all the possible joint events, the sum of all column marginal probabilities equals the sum of all row marginal probabilities equals 1.
Check that the sum of all column marginal probabilities equals the sum of all row marginal probabilities equals 1.
Consider the following table of probabilities for events cats, dogs, fish, which occur jointly with events hungry and not hungry.
Cats dogs fish
Hungry 0.13 0.17 0.15
Not hungry 0.15 0.25 0.25
The probability of joint event hungry cats can be read directly from the table in B2 as 0.13. For the marginal probability of event cats, in B4 type = 0.13 + 0.05
For the marginal probability of event hungry, in E2 type = 0.13 + 0.17 + 0.25
Suppose we have different possibilities:
In favor Democrat Republican Row Total
Yes 0.15 0.20 0.35
No 0.25 0.40 0.65
Column total 0.40 0.60 1.0
P(yes and republican) is a __________ probability
Joint
Conditional
marginal
Explanation / Answer
P(yes and republican) is a joint probability which can be found as the intersection of yes and republican from the above table and it is 0.2
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