voreStat9 3.AE003 3. Two gas stations are located at a certain intersection. Eac

Question

voreStat9 3.AE003 3. Two gas stations are located at a certain intersection. Each one has six gas pumps. Consider the experiment in which the number of pumps in use at a particular time of day is determined for each of the stations. An experimental outcome specifies how many pumps are in use at the first station and how many are in use at the second one. One possible outcome is (2, 2), another is (4, 1), and yet another is (1, 4). Define rv's X, Y, and U by X = the total number of pumps in use at the two stations Y - the difference between the number of pumps in use at station 1 and the number in use at station 2 U - the maximum of the numbers of pumps in use at the two stations If this experiment is performed and s = (2, 3) results, then x((23))-2 say that the observed value of X was x- ?13- . Similarly, the observed value of Y would be , so we , and the observed value of U would be u max(2, 3)

Explanation / Answer

Answer

Here the two gas stations each has 6 gas pumps. An experimental outcome specifies how many are in use at the first station (as a) and how many are in use at the second one (as b) which is represented as (a,b).

Now we define X, Y and U as,

X=the total number of pumps in use at the two sations

Y=the difference between the number of pumps in use at station 1 and the number in use at station 2

U=the maximum of the numbers of pumps in use at the two stations

If this experiment is performed and s=(2,3) results, then,

X((2,3))=2+3=5 , so we say that the observed value of X was x=5

Similarly, the observed value of Y would be y=2-3=-1

and the observed value of U would be u=max(2,3)=3

Hence the answer.............

Thank you.............

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