Answer:
the answer is below
Step-by-step explanation:
We have the total number of possible samples = 4 * 4 = 16 (As 4 choices for each value)
in addition we have to as all sample occur with equal probability, probability of each sample = 1/16, below is samling distribution of mean
x1 x2 probabilityP(x1,x2) sample mean
190 190 1/16 190
190 100 1/16 145
190 272 1/16 231
190 74 1/16 132
100 190 1/16 145
100 100 1/16 100
100 272 1/16 186
100 74 1/16 87
272 190 1/16 231
272 100 1/16 186
272 272 1/16 272
272 74 1/16 173
74 190 1/16 132
74 100 1/16 87
74 272 1/16 173
74 74 1/16 74
Summarizing above with adding duplicate values
sample mean probability
74 1/16
87 1/8
100 1/16
132 1/8
145 1/8
173 1/8
186 1/8
190 1/16
231 1/8
272 1/16
These are vertical angles and vertical angles are congruent. So you set them equal to each other
5x+12=6x-10
-5x -5x
12= x-10
+10 +10
X=22
