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 = (round to one decimal place as needed.)

Explanation:

Step1: Recall standard - deviation formula

The standard deviation $\sigma$ of a probability distribution is the square - root of the variance $\sigma^{2}$. That is, $\sigma=\sqrt{\sigma^{2}}$.

Step2: Substitute the given variance value

We are given that $\sigma^{2}=0.8$. So, $\sigma = \sqrt{0.8}$.

Step3: Calculate and round

$\sqrt{0.8}\approx0.9$

Answer:

$0.9$