Question

Two ordinary fair dice (one red, one blue) are rolled siμltaneously. Consider the random variables x.

a)Continuous values
b)Discrete values
c)Negative values
d)Imaginary values

Answer 1

The random variable X represents the sum of the values obtained when rolling two dice. The distribution of X is discrete, with each sum having an equal probability, except for the extremes.

Step-by-step explanation:

The random variable X in this question represents the sum of the values obtained when rolling two dice. Since the question states that the dice are fair, we can assume that each die has 6 possible outcomes: 1, 2, 3, 4, 5, or 6. Therefore, the values that X may take on are the sums of the two dice, which range from 2 to 12.

The distribution of X is discrete, as the values are obtained by counting the possible outcomes. The probability distribution can be represented by a table or a graph, where each sum has a corresponding probability.

Since the dice are fair, all sums have an equal probability of occurring, except for the extremes (2 and 12), which have lower probabilities since they can only occur in one way.