Final answer:
The incorrect statement is that the binomial distribution is a continuous distribution; it is actually a discrete distribution.
Step-by-step explanation:
The question provided relates to different statistical distributions and their properties. The incorrect statement among the listed options is that the binomial distribution is a continuous distribution. In fact, the binomial distribution is a discrete distribution, which is used to model the number of successes in a fixed number of trials, assuming each trial has two possible outcomes (success or failure) and that each trial is independent of the others.
On the other hand, the Poisson distribution applies to various scenarios where the number of events in a fixed interval is being measured, assuming the events occur independently. The exponential distribution is indeed right skewed, often used to model the time until a certain event occurs. Lastly, core inflation information is specific to economics and would depend on recent reports, which is out of the context of this question.