The Joint Probability Distribution of X and Y Is Shown $$\begin{array} { c | c c c } & & X \\\hline Y&1& 2 & 3 \\\hline 1 & .30 & .18 & .12 \\2 & .15 & .09 & .06 \\3 & .05 & .03 & .02\end{array}$$

question 39

Essay

The joint probability distribution of X and Y is shown in the following table. $$\begin{array} { c | c c c } & & X \\\hline Y&1& 2 & 3 \\\hline 1 & .30 & .18 & .12 \\2 & .15 & .09 & .06 \\3 & .05 & .03 & .02\end{array}$$
a. Determine the marginal probability distributions of X and Y.
b. Are X and Y independent? Explain.
c. Find $P ( Y = 2 \mid X = 1 )$
d. Find the probability distribution of the random variable X+Y.
e. Find E(XY).
f. Find COV(X, Y).

Describe and appreciate the evolution of the "modern American family".

Identify and comprehend the challenges faced by LGBT families and the limitations of existing research.

Evaluate the impact of social institutions and social determinants on health and education, within an intersectional framework.

Ability to identify and generate the least stable carbanion from a given structure.

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