Using the previous tutorial, address the following: Imagine an
experiment where three dice are tossed and the numbers on each die
is recorded under Die1, Die2 and Die3. Answer the following
questions about the sum of the three numbers recorded from:
Die1+Die2+Die3. (Discussions allowed)
Hint:
- Simulate this experiment 1000 times. (use the same procedure as
in the above tutorial, but for the Number of Variables, instead of
1 put 3; since we are rolling 3 dice not one).
- Next, create a new column by writing, in cell D1 =A1+B1+C1, and
scroll down the results by clicking on D1 cell and bottom-right
corner. (for more detail see the Book chapter on lecture 26)
- Finally create the histogram based on this new column. Use bins
3,4,5,…,18.
16. What is the (approximate) probability that
Die1+Die2+Die3=6?
- a. Probability is approximately 5%
- b. Probability is approximately 10%
- c. Probability is approximately 20%
- d. Probability is approximately 25%
17. What is the (approximate) probability that
Die1+Die2+Die3>12?
- a. Probability is approximately 25%
- b. Probability is approximately 35%
- c. Probability is approximately 50%
- d. Probability is approximately 75%
18. What is the (approximate) probability that
Max(Die1,Die2,Die3)=6? Careful: Use “Max( ) function in
Excel.
- a. Probability is approximately 5%
- b. Probability is approximately 15%
- c. Probability is approximately 25%
- d. Probability is approximately 45%
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