Can you help me with part a, b and e and can you do it step by step and can you label the parts as well 4.1-3. Let the joint pmf of X and Y be defined byx + y32f(x, y) =a. Find fx (x), the marginal pmf of X.b. Find fy (y), the marginal pmf of Y.x = 1, 2, y = 1, 2, 3, 4.e. Find P(X + Y = 3).f. Find P(X ≤ 3 - Y).g. Are X and Y independent or dependent? Why or why not?

Joint p.m.f of X and Y is defined by

Answered: 4.1-3. Let the joint pmf of X and Y be…

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter14: Discrete Dynamical Systems

Section14.3: Determining Stability

Problem 13E: Repeat the instruction of Exercise 11 for the function. f(x)=x3+x For part d, use i. a1=0.1 ii...

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Repeat the instruction of Exercise 11 for the function. f(x)=x3+x For part d, use i. a1=0.1 ii a1=0.1 11. Consider the function f(x)=4x2(1x) a. Find any equilibrium points where f(x)=x. b. Determine the derivative at each of the equilibrium points found in part a. c. What does the theorem on the Stability of Equilibrium points tell us about each of the equilibrium points found in part a? d. Find the next four iterations of the function for the following starting values. i. a1=0.4. ii. a2=0.7 e. Describe the behavior of successive iteration found in part d. f. Discuss how the behavior found in part d relates to the results from part c.

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4.1-3. Let the joint pmf of X and Y be defined by x + y 32 f(x, y) = a. Find fx (x), the marginal pmf of X. b. Find fy (y), the marginal pmf of Y. x = 1,2, y = 1, 2, 3, 4. e. Find P(X + Y = 3). f. Find P(X ≤ 3 - Y). g. Are X and Y independent or dependent? Why or why not?