Let X and Y be two discrete random variables with a joint probability distribution described in...
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Let X and Y be two discrete random variables with a joint probability distribution described in the following table. X=0 means tomorrow is going to rain, and X =1 means tomorrow will not rain; Y=0 means Sandy will take a long commute to shop tomorrow, and Y=1 means Sandy will take a short commute to shop tomorrow. Long commute (Y=0) Short commute (Y=1) Total Rain (X=0) 0.15 0.50 0.65 No rain (X=1) 0.10 0.25 0.35 Total 0.25 0.75 1.00 (a) [7.5 pts] Interpret the number in the first cell "0.15". (b) [7.5 pts] What is the probability that tomorrow will rain? (c) [12 pts] What are the respective expected values of X and Y, show your work to get full points. (d) [8 pts] Calculate E(Y| X=0) and E(Y| X=1), show your work to get full points Let X and Y be two discrete random variables with a joint probability distribution described in the following table. X=0 means tomorrow is going to rain, and X =1 means tomorrow will not rain; Y=0 means Sandy will take a long commute to shop tomorrow, and Y=1 means Sandy will take a short commute to shop tomorrow. Long commute (Y=0) Short commute (Y=1) Total Rain (X=0) 0.15 0.50 0.65 No rain (X=1) 0.10 0.25 0.35 Total 0.25 0.75 1.00 (a) [7.5 pts] Interpret the number in the first cell "0.15". (b) [7.5 pts] What is the probability that tomorrow will rain? (c) [12 pts] What are the respective expected values of X and Y, show your work to get full points. (d) [8 pts] Calculate E(Y| X=0) and E(Y| X=1), show your work to get full points
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Answer rating: 100% (QA)
a The number in the first cell 015 represents the joint probability of two events Tomorrow will rain ... View the full answer
Related Book For
Statistics For Engineering And The Sciences
ISBN: 9781498728850
6th Edition
Authors: William M. Mendenhall, Terry L. Sincich
Posted Date:
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