Question: [10 points]

The social mobility data from Table 1 gives a joint probability distribution on

(Y1; Y2) = (father’s occupation; son’s occupation)

Table 1: Joint distribution of occupational categories of fathers and sons These data can be inputted in R with the following commands (see below).

Using this joint distribution, calculate the following distributions:

1. [2.5 points] the marginal probability distribution of a father’s occupation
2. [2.5 points] the marginal probability distribution of a son’s occupation
3. [2.5 points] the conditional distribution of a son’s occupation, given that the father is a farmer
4. [2.5 points] the conditional distribution of a father’s occupation, given that the son is a farmer

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Solution: The downloadable solution consists of 3 pages
Deliverable: Word Document