Question

complete parts (a) and (b) below. the number of dogs per household in a small town dogs 0 1 2 3 4 5 probability 0.687 0.196 0.075 0.021 0.013 0.008 (a) find the mean, variance, and standard deviation of the probability distribution. find the mean of the probability distribution. μ = 0.5 (round to one decimal place as needed.) find the variance of the probability distribution. σ² = 0.8 (round to one decimal place as needed.) find the standard deviation of the probability distribution. σ = 0.9 (round to one decimal place as needed.) (b) interpret the results in the context of the real - life situation. a. a household on average has 0.5 dog with a standard deviation of 0.9 dog. b. a household on average has 0.8 dog with a standard deviation of 0.9 dog. c. a household on average has 0.9 dog with a standard deviation of 0.5 dog. d. a household on average has 0.5 dog with a standard deviation of 17 dogs.

Explanation:

Step1: Recall mean, variance and standard - deviation interpretations

The mean $\mu$ of a probability distribution represents the average value. The standard deviation $\sigma$ measures the amount of variation or dispersion of a set of values.

Step2: Identify correct values

We are given that the mean $\mu = 0.5$ and the standard deviation $\sigma=0.9$.

Answer:

A. A household on average has 0.5 dog with a standard deviation of 0.9 dog.