4. Probability Distributions: Random Variables
Sums of Random Variables
Suppose:
#\,\,\,\,\,\,\,\,\scriptsize{\bullet}# #\,\mathbb{E}[Y]= 13.2##\,\,\,\,\,\,\,\,\scriptsize{\bullet}# #\,Var[Y]= 2.59##\,\,\,\,\,\,\,\,\scriptsize{\bullet}# #\,\mathbb{E}[Z]= 12.9##\,\,\,\,\,\,\,\,\scriptsize{\bullet}# #\,Var[Z]= 2.47#
#\,\,\,\,\,\,\,\,\scriptsize{\bullet}# #\,X= Y + 2Z#
Find #\mathbb{E}[X]#.
| #\mathbb{E}[X]=# |
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