Question 1 (14 points) Two 6-sided dice are rolled. One die is a standard die, a

Question

Question 1 (14 points) Two 6-sided dice are rolled. One die is a standard die, and the other is a Fibonacci die with sides 1, 1, 2, 3, 5, and 8. Submit a file with the probability distribution for this experiment. Question 2 (14 points) Two 6-sided dice are rolled. One die is a standard die, and the other is a Fibonacci die with sides 1, 1, 2, 3, 5, and 8. What is the shape of the probability distribution? Question 3 (14 points) Two 6-sided dice are rolled. One die is a standard die, and the other is a Fibonacci die with sides 1, 1, 2, 3, 5, and 8. What is the expected value when these two dice are rolled?

Explanation / Answer

considering all possible sum and then sorting out

pmf

1 1 2 2 2 1 3 2 3 1 4 3 4 1 5 3 5 1 6 3 6 1 7 4 1 1 2 4 2 1 3 4 3 1 4 4 4 1 5 5 5 1 6 5 6 1 7 5 1 2 3 5 2 2 4 6 3 2 5 6 4 2 6 6 5 2 7 6 6 2 8 6 1 3 4 7 2 3 5 7 3 3 6 7 4 3 7 7 5 3 8 7 6 3 9 8 1 5 6 8 2 5 7 8 3 5 8 9 4 5 9 9 5 5 10 9 6 5 11 10 1 8 9 10 2 8 10 11 3 8 11 11 4 8 12 12 5 8 13 13 6 8 14 14

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