Final answer:
No, P(x greater than 2) = -0.005 is not a valid probability statement because probabilities must be between 0 and 1 inclusive, and a negative probability does not fulfill this criterion.
Step-by-step explanation:
The question asks if P(x greater than 2) = -0.005 is a valid probability statement. In probability theory, the value of a probability must always lie between 0 and 1, inclusive. This represents the range from an impossibility (0) to a certainty (1). Therefore, a probability value like -0.005, which is negative, is not valid and does not represent a real-world scenario.
A correct probability statement must adhere to the fundamental rules of probabilities. For example, P(x ≥ 0) = 0.80 is a valid probability statement because it falls within the required range from 0 to 1. Similarly, P(x ≤ 3) = 0.95 is also valid for the same reason. However, a statement like P(x > 2) = -0.005 does not conform to the basic principles of probability and is therefore not valid.