Problem 1: Random Experiment of Rolling Two Fair Six-Sided Dice (15 Points) Cons
ID: 3151471 • Letter: P
Question
Problem 1: Random Experiment of Rolling Two Fair Six-Sided Dice (15 Points) Consider the random experiment of rolling two “fair” six-sided dice and recording the number of dots on the up-faces of the two dice. (See Example 5.7). For each part, state the probabilities as fractions. Note 1: “sum of dice” means to sum the number of dots on the up-faces of the two dice. Note 2: StatCrunch is not used for this problem. a) Find the probability distribution for the discrete random variable X = “sum of two dice” in the form of a table. In other words, include a table in your solutions document showing the values the random variable takes on in the first column and the probability it takes on each of these values in the second column. For parts b-d, list the outcomes (out of the 36 shown in Example 5.7) associated with the stated event and calculate its probability. b) Event A is the sum of dice equals 10. c) Event B is the sum of dice equaling 7 or 11. d) Event C is the same number on each die.
Explanation / Answer
) Find the probability distribution for the discrete random variable X = “sum of two dice” in the form of a table. In other words, include a table in your solutions document showing the values the random variable takes on in the first column and the probability it takes on each of these values in the second column. For parts b-d, list the outcomes (out of the 36 shown in Example 5.7) associated with the stated event and calculate its probability.
x P(X)
1 1/6
2 1/6
3 1/6
4 1 /6
5 1/6
6 1/6