4. Probability Distributions: Random Variables
Sums of Random Variables
Suppose:
#\,\,\,\,\,\,\,\,\scriptsize{\bullet}# #\,\mathbb{E}[Y]= 5.2\phantom{0}##\,\,\,\,\,\,\,\,\scriptsize{\bullet}# #\,Var[Y]= 1.75##\,\,\,\,\,\,\,\,\scriptsize{\bullet}# #\,\mathbb{E}[Z]= 11.8##\,\,\,\,\,\,\,\,\scriptsize{\bullet}# #\,Var[Z]= 1.51#
#\,\,\,\,\,\,\,\,\scriptsize{\bullet}# #\,X= 4Y + 3Z#
Find #\mathbb{E}[X]#.
| #\mathbb{E}[X]=# |
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