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Let a random experiment be the casting of a pair of fair dice, each having six faces
Chapter 2, Problem 2.1-6(choose chapter or problem)
Let a random experiment be the casting of a pair of fair dice, each having six faces, and let the random variable X denote the sum of the dice. (a) With reasonable assumptions, determine the pmf f(x) of X. Hint: Picture the sample space consisting of the 36 points (result on first die, result on second die), and assume that each has probability 1/36. Find the probability of each possible outcome of X, namely, x = 2, 3, 4, ... , 12. (b) Draw a probability histogram for f(x).
Questions & Answers
QUESTION:
Let a random experiment be the casting of a pair of fair dice, each having six faces, and let the random variable X denote the sum of the dice. (a) With reasonable assumptions, determine the pmf f(x) of X. Hint: Picture the sample space consisting of the 36 points (result on first die, result on second die), and assume that each has probability 1/36. Find the probability of each possible outcome of X, namely, x = 2, 3, 4, ... , 12. (b) Draw a probability histogram for f(x).
ANSWER:Step 1 of 4
Given:
A pair of fair dice is thrown.
The variable X represents the sum of the dice.