Final answer:
To find the mean, variance, and standard deviation of the probability distribution representing the number of dogs per household in a small town, we need to calculate the mean, variance, and standard deviation by following specific formulas.
Step-by-step explanation:
The question is asking for the mean, variance, and standard deviation of a probability distribution representing the number of dogs per household in a small town. To find the mean, we need to multiply each possible number of dogs per household by its corresponding probability and then sum up these products. The variance can be found by subtracting the mean from each number of dogs per household, squaring the result, multiplying it by its corresponding probability, and summing up these products. The standard deviation is then the square root of the variance.