4. Probability Distributions: Random Variables
Sums of Random Variables
Suppose:
#\,\,\,\,\,\,\,\,\scriptsize{\bullet}# #\,\mathbb{E}[Y]= 13.1##\,\,\,\,\,\,\,\,\scriptsize{\bullet}# #\,Var[Y]= 2.03##\,\,\,\,\,\,\,\,\scriptsize{\bullet}# #\,\mathbb{E}[Z]= 14.2##\,\,\,\,\,\,\,\,\scriptsize{\bullet}# #\,Var[Z]= 2.26#
#\,\,\,\,\,\,\,\,\scriptsize{\bullet}# #\,X= Y + 4Z#
Find #\mathbb{E}[X]#.
| #\mathbb{E}[X]=# |
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