Chapter 5.1, Problem 19E

a.

To determine

Find the value of c such that the function $f_{XY}\left(x,y\right)=c$ for x and y in the region.

Compute $P\left(X<0.5,Y<0.5\right)$.

b.

To determine

Compute $P\left(X<0.5\right)$.

c.

To determine

Compute $E\left(X\right)$.

d.

To determine

Compute $E\left(Y\right)$.

e.

To determine

Find marginal probability distribution of X.

f.

To determine

Find the conditional probability distribution of Y given that $X=1$.

g.

To determine

Find $E\left(Y|X=1\right)$.

h.

To determine

Find $P\left(Y<0.5|X=1\right)$.