Consider the following joint PMF: Px,y (x, y) 0 1 X -2 -1 1/12 0 1/3 0 0 Y +1 1/6 0 +2 0 1/6 1/12 1/12 1/12 (a) Determine the marginal PMFs Px(x) and Py(y). (b) Calculate E[X] and E[Y]. (c) Calculate P[X < Y]. (d) Determine the conditional PMF Px|y(x|y) and write it out as a table. (e) Calculate P[X > 1|Y = 2]. (f) Are X and Y independent? (g) Calculate E[2X – 3Y].
Consider the following joint PMF: Px,y (x, y) 0 1 X -2 -1 1/12 0 1/3 0 0 Y +1 1/6 0 +2 0 1/6 1/12 1/12 1/12 (a) Determine the marginal PMFs Px(x) and Py(y). (b) Calculate E[X] and E[Y]. (c) Calculate P[X < Y]. (d) Determine the conditional PMF Px|y(x|y) and write it out as a table. (e) Calculate P[X > 1|Y = 2]. (f) Are X and Y independent? (g) Calculate E[2X – 3Y].
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.
Chapter6: Applications Of The Derivative
Section6.3: Implicit Differentiation
Problem 44E
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Only d, e, f, g please!! Thank you!!
![Consider the following joint PMF:
Px,y(x, y)
0
1
2
X
Y
-2 -1
+2
1/12
0
1/3
1/6
0 1/12 1/12 1/12
+1
0 1/6
(a) Determine the marginal PMFs Px(x) and Py(y).
(b) Calculate E[X] and E[Y].
(c) Calculate P[X < Y].
(d) Determine the conditional PMF Px|y(x|y) and write it out as a table.
(e) Calculate P[X > 1|Y = 2].
(f) Are X and Y independent?
(g) Calculate E[2X – 3Y].](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F02681530-b6ca-4d72-bfd1-7260256101ab%2F426ecc73-92b5-4e9b-bf8a-e82f2efe53d8%2Fhftrve_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the following joint PMF:
Px,y(x, y)
0
1
2
X
Y
-2 -1
+2
1/12
0
1/3
1/6
0 1/12 1/12 1/12
+1
0 1/6
(a) Determine the marginal PMFs Px(x) and Py(y).
(b) Calculate E[X] and E[Y].
(c) Calculate P[X < Y].
(d) Determine the conditional PMF Px|y(x|y) and write it out as a table.
(e) Calculate P[X > 1|Y = 2].
(f) Are X and Y independent?
(g) Calculate E[2X – 3Y].
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