Question: X is a random variable resulting from the roll of a single standard die (with 6 faces numbered 1 through 6, commonly known as a

X is a random variable resulting from the roll of a single standard die (with 6 faces numbered 1 through 6, commonly known as a D6).

a. What is the probability distribution of 2X?

b. Calculate the probability that 2X will be 4.

c. Calculate the probability that 2X will be less than 6.

d. What is the probability distribution of X + X?

e. Calculate the probability that X + X will be 4.

f. Calculate the probability that X + X will be less than 6?

g. Use simulation to determine the difference between 10X and the sum of 10 D6 dice.

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