Practice 5. A restaurant serves three fixed-price dinners costing $12, $15, and $20. For a randomly selected couple dining at this restaurant, let X = the cost of the man's dinner and Y= the cost of the woman's dinner. The joint pmf of X and Y is given in the following table. Pxy(x, y) y = 12 y = 15 y = 20 x = 12 0.05 0.35 0.05 x = 15 0.15 0.05 0.10 x = 20 0.10 0.10 0.05 (a) Compute and write the marginal pmf of X and Y. 12 15 X Px (x) Y py (x) 12 15 20 20 (b) Are X and Y independent? Why yes or why not? Justify your answer. (c) What is the expected maximum cost, E{max(X, Y)}, of the dinner for the two people?
Practice 5. A restaurant serves three fixed-price dinners costing $12, $15, and $20. For a randomly selected couple dining at this restaurant, let X = the cost of the man's dinner and Y= the cost of the woman's dinner. The joint pmf of X and Y is given in the following table. Pxy(x, y) y = 12 y = 15 y = 20 x = 12 0.05 0.35 0.05 x = 15 0.15 0.05 0.10 x = 20 0.10 0.10 0.05 (a) Compute and write the marginal pmf of X and Y. 12 15 X Px (x) Y py (x) 12 15 20 20 (b) Are X and Y independent? Why yes or why not? Justify your answer. (c) What is the expected maximum cost, E{max(X, Y)}, of the dinner for the two people?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Practice 5. A restaurant serves three fixed-price dinners costing $12, $15, and $20. For a
randomly selected couple dining at this restaurant, let X = the cost of the man's dinner
and Y= the cost of the woman's dinner. The joint pmf of X and Y is given in the following
table.
Px,y(x, y) y = 12 y = 15 y = 20
x = 12
0.05
0.35
0.05
x = 15
0.15
0.05
0.10
x = 20
0.10
0.10
0.05
(a) Compute and write the marginal pmf of X and Y.
15
PX(2) 12
PY(2)
12
15
20
20
(b) Are X and Y independent? Why yes or why not? Justify your answer.
(c) What is the expected maximum cost, E{max(X, Y)}, of the dinner for the two people?
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