Question

complete parts (a) and (b) below.
the number of dogs per household in a small town

(a) find the mean, vanance, and standard deviation of the probability distribution.
find the mean of the probability distribution.
μ = 0.6 (round to one decimal place as needed.)
find the vanance of the probability distribution.
σ² = 0.9 (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 the formula for standard deviation

The standard deviation \(\sigma\) of a probability distribution is the square - root of the variance \(\sigma^{2}\), i.e., \(\sigma=\sqrt{\sigma^{2}}\).

Step2: Substitute the value of variance

Given \(\sigma^{2} = 0.9\). Then \(\sigma=\sqrt{0.9}\).
Using a calculator, \(\sqrt{0.9}\approx0.94868\).

Answer:

\(0.9\)