Chapter 5.1, Problem 8E

a.

To determine

Compute $P\left(X=2\right)$.

b.

To determine

Compute $P\left(X=1,Y=2\right)$.

c.

To determine

Compute $P\left(Z<1.5\right)$.

d.

To determine

Compute $P\left(X=1\text{or}Z=2\right)$.

e.

To determine

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

f.

To determine

Compute $P\left(X=1|Y=1\right)$.

g.

To determine

Compute $P\left(X=1,Y=1|Z=2\right)$.

h.

To determine

Compute $P\left(X=1|Y=1,Z=2\right)$.

i.

To determine

Find the conditional probability distribution of X given that $Y=1$ and $Z=2$.