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A particle starts at (0, 0) and moves in one-unit independent steps with equal
Chapter 4, Problem 4.1-4(choose chapter or problem)
A particle starts at (0, 0) and moves in one-unit independent steps with equal probabilities of 1/4 in each of the four directions: north, south, east, and west. Let S equal the eastwest position and T the northsouth position after n steps. (a) Define the joint pmf of S and T with n = 3. On a twodimensional graph, give the probabilities of the joint pmf and the marginal pmfs (similar to Figure 4.1-1). (b) What are the marginal distributions of X and Y?
Questions & Answers
QUESTION:
A particle starts at (0, 0) and moves in one-unit independent steps with equal probabilities of 1/4 in each of the four directions: north, south, east, and west. Let S equal the eastwest position and T the northsouth position after n steps. (a) Define the joint pmf of S and T with n = 3. On a twodimensional graph, give the probabilities of the joint pmf and the marginal pmfs (similar to Figure 4.1-1). (b) What are the marginal distributions of X and Y?
ANSWER:Step 1 of 5
Given Information:
A particle starts at (0,0) and it moves in one-unit independent steps with equal probabilities as ¼. It moves in all directions East, West, North, and South. It is also given that the position ‘S’ equals east-west and ‘T’ equals north-south.