Final answer:
Without a specific probability distribution model provided in the question, it is impossible to calculate the exact probabilities for the number of litters a fertile, female cat might produce in a year. The random variable X represents the number of litters produced by a randomly chosen fertile, female cat in one year.
Step-by-step explanation:
The question is regarding the probability distribution for the number of litters produced by a fertile, female cat over the course of one year. The random variable X is defined as the number of litters produced by one randomly chosen fertile, female cat in one year.
Probability Calculations:
- Exactly 1 litter: The probability that she produces exactly 1 litter in a year cannot be determined without a probability distribution function.
- Exactly 2 litters: Similarly, the probability for exactly 2 litters requires a specified probability distribution.
- Exactly 3 litters: If we assume that producing 3 litters is the average or the most likely scenario, then this could be seen as a high-probability event, but the exact probability cannot be provided without further statistical context.
- More than 3 litters: Without a given probability model, assessing the probability of more than 3 litters is not possible.
- No litters: Again, determining the probability of no litters requires the specifics of a probability model.
Since the question does not provide a specific probability distribution model (such as Poisson, binomial, normal, etc.), it is impossible to give an exact numerical value to the probabilities of the different events occurring. To accurately answer the question about the cat's probability of litters in one year, more information about the probability distribution is necessary.