Final answer:
The probability P(X = 2) is 0, because the random variable X is defined to be 2/3 and cannot take on any value other than its defined value.
Step-by-step explanation:
Finding the Probability of a Defined Random Variable
The question asks us to find the probability that a random variable X is equal to 2, given that X is defined as 2/3. In this context, X is a constant value and not a variable that can take on different values. Since X has been defined to be exactly 2/3, the probability that X equals 2, which is different from 2/3, is 0. Therefore, P(X = 2) is 0.
The subject of this question is mathematics, specifically probability theory, which often deals with the likelihood of different outcomes of a random process. Since X cannot be 2 and is 2/3 by definition, no matter how many times the random process is repeated, X will never equal 2.
The calculation is simple:
- Recognize that X is defined to be a constant value (2/3).
- Understand that a constant cannot take on any other value.
- Therefore, the probability of X being equal to any other value except for its defined value is 0.