Question: Consider a random variable X with uniform distribution U(0, 1) a.) How can I use the random variable to simulate dice rolls? Each of the

Consider a random variable X with uniform distribution U(0, 1)

a.) How can I use the random variable to simulate dice rolls? Each of the possible outcomes {1, 2, 3, 4} must have equal probability

b.) Consider the random variable Y = 4X + 1. That is, we take a random number generated according to the distribution of X, we multiply it by 4, we add 1, and we round it down to the nearest integer. What are the possible outcomes of Y ? What is the probability of each of these outcomes? Discuss the relationship between Y and the random variable you built in point (a.).

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