Given the following probability distributions for variables X and Y: P(x, y)X                  Y 0.4       100            200 0.6       200            100 a. E(X) and E(Y). b. σX and σY. c....

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Given the following probability distributions for variables Xand Y:

P(x,y)X                  Y

0.4       100            200

0.6       200            100

a. E(X) and E(Y).

b. σX and σY.

c. σXY. d. E(X + Y).

e. Suppose that X represents the number of patients successfullytreated for Malaria and Y represents the number of patientssuccessfully treated for Tuberculosis. And medication A (first rowin the table) has a 40% of effectiveness and medication B (secondrow in the table) has a 60% of effectiveness. Interpret and makestatements based on the calculations you did.

Answer & Explanation Solved by verified expert
3.7 Ratings (311 Votes)
First we construct the joint probability table and find themarginal probabilities of X and YYY100200PXX10000404X20006006PY06041a EX 10004 20006 160EY    See Answer
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