Question

Find a formula for the probability distribution of the random variable X representing the outcome when a single die is rolled once.

Answer 1

Answer on Question#54495 – Math – Statistics and Probability

**Question.** Find a formula for the probability distribution of the random variable $X$ representing the outcome when a single die is rolled once.

**Solution.** In this experiment we have six possible outcomes for $X$: 1, 2, 3, 4, 5, 6. Assuming the die is fare we obtain the next probabilities:

$$P\{X = 1\} = P\{X = 2\} = P\{X = 3\} = P\{X = 4\} = P\{X = 5\} = P\{X = 6\} = \frac{1}{6}.$$

So the probability distribution of $X$ has the next form:

**Answer.**

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