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Must the values of x in a discrete probability distribution always be mutually exclusive?

Option 1: Yes

Option 2: No

1 Answer

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Final answer:

In a discrete probability distribution, the values of x must be mutually exclusive, meaning each event occurs separately, and the sum of the probabilities is always one.

Step-by-step explanation:

The values of x in a discrete probability distribution must always be mutually exclusive. This means that each event represented by a value of x cannot occur at the same time as another event. For example, if x represents the number of heads when flipping a coin three times, the events x=1 and x=2 are mutually exclusive because you cannot have both one head and two heads in the same set of three flips.

A discrete probability distribution has two main characteristics:

  • Each probability is between zero and one, inclusive.
  • The sum of the probabilities is one (the probabilities must add up to 1.0).

Therefore, the correct answer is Option 1: Yes, the values of x in a discrete probability distribution must always be mutually exclusive.

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