Example 5.1 Consider two random variables X and Y with joint PMF given in Table 5.1. Table 5.1 Joint PMF of X and Y in Example 5.1 Y = 0 Y =1 Y = 2 X = 0 X = 1 Figure 5.1 shows Pxy(x, y). JointPMF 3 1 3 y Figure 5.1: Joint PMF of X and Y (Example 5.1). a. Find P(X = 0, Y < 1). b. Find the marginal PMFS of X and Y. c. Find P(Y = 1|X = 0). 1/6 1/4 1/6

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Example 5.1
Consider two random variables X and Y with joint PMF given in Table 5.1.
Table 5.1 Joint PMF of X and Y in Example 5.1
Y = 0 Y =1 Y = 2
X = 0
X = 1
Figure 5.1 shows PxY (x, y).
JointPMF
3
伍
1
2
3 y
Figure 5.1: Joint PMF of X and Y (Example 5.1).
a. Find P(X = 0, Y < 1).
b. Find the marginal PMFS of X and Y.
c. Find P(Y = 1|X = 0).
1/00
1/6
1/6
loe
Transcribed Image Text:Example 5.1 Consider two random variables X and Y with joint PMF given in Table 5.1. Table 5.1 Joint PMF of X and Y in Example 5.1 Y = 0 Y =1 Y = 2 X = 0 X = 1 Figure 5.1 shows PxY (x, y). JointPMF 3 伍 1 2 3 y Figure 5.1: Joint PMF of X and Y (Example 5.1). a. Find P(X = 0, Y < 1). b. Find the marginal PMFS of X and Y. c. Find P(Y = 1|X = 0). 1/00 1/6 1/6 loe
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