Question 871211: I need someone to answer to this problem before my exams! I would like if he/she can share his/her thoughts on this math problem with me. :)
So, here it is:
A fair coin is tossed 2 independent times. Suppose the Random Variables X1,X2 where:
Xi={1, Heads in i toss,
___{0, Tails in i toss,
for i=1,2.
Count the domain S, the mass, the function of distribution, the mean, the dispersion for the R.V. Y = 2X1, Z = X1+X2, W=1-X1+X2 .
•Having answered on the above questions, which one of the two following games would you play? (Justify your answer.)
(i) Game 1: You throw a coin and you earn 2 Euros if "Heads" is the outcome.
(ii) Game 2: You throw two coins and you earn 1 Euro for every coin for which "Heads" is the outcome.
Answer by math1239028(4)   (Show Source):
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