Description
Use complete and coherent sentences to answer the questions.
Graphs must be appropriately titled and should refer to the context of the question.
Graphical displays must include labels with units if appropriate for each axis.
Units should always be included when referring to numerical values.
When making a comparison you must use comparative language, such as “greater than”, “less than”, or “about the same as.”
Ensure that all graphs and tables appear on one page and are not split across two pages.
Type all mathematical calculations when directed to compute an answer ‘by-hand.’
Pictures of actual handwritten work are not accepted.
When writing mathematical expressions into your document you may use either an equation editor or common shortcuts such as: can be written as sqrt(x), can be written as p-hat, can be written as x-bar.
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Explanation & Answer
Buddy, find the attached complete paper. Inside the word document, attach the images I have uploaded just below the parts written "sketch." Let me know if you have any question. Otherwise, goodbye for now
Surname 1
Name, STAT 250
Problem 1: Simulating Rolling Two Dice
a)
b) Theoretical Probability distribution
.
SUM
1
2
3
4
5
6
1
2
3
4
5
6
7
2
3
4
5
6
7
8
3
4
5
6
7
8
9
4
5
6
7
8
9
10
5
6
7
8
9
10
11
6
7
8
9
10
11
12
Surname 2
x
p(x)
2
1/36
3
2/36
4
3/36
5
4/36
6
5/36
7
6/36
8
5/36
9
4/36
10
3/36
11
2/36
c) “Sum of 2 rolls equals 11”
The theoretical probability for “Sum of 2 rolls equal to 11” is 2/36 = 0.056
The probability from the simulation (0.05) is less than but close to the theoretical
probability; that is 0.05 < 0.056
d) “Sum of 2 rolls greater than or equal to 11”
The theoretical probability for “Sum of 2 rolls greater than or equal to 11” is
𝑝(𝑠𝑢𝑚 = 11) + 𝑝(𝑠𝑢𝑚 = 12) =
2
1
3
+
=
= 0.083
36 36
36
12
1/36
Surname 3
The probability from the simulation is equal to the theoretical probability; both have
values equal to 0.083 for the “sum of 2 rolls greater than o...
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