Suppose 250 people out a survey asking how many dogs and

Reference no: EM13631634

Suppose 250 people out a survey asking how many dogs and cats they own. The results are given in the following table, where the entry in row i and column j is the number of respondents who have exactly i cats and j dogs (e.g. 86 people report having 0 cats and 1 dog)

	0	1	2
0	58	86	14
1	33	50	9

For a person chosen randomly among survey participants, let random variable X be the number of dogs this person owns, and Y be the number of cats this person owns. By dividing the table entries by 250, we obtain a joint PMF for X and Y.

(a) Are X and Y independent?

(b) Find the conditional expected values E(X/Y=1) and E(Y/X=2).

Reference no: EM13631634

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