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

0.661

0.213

0.083

0.021

0.015

0.008

​(a) Find the​ mean, variance, and standard deviation of the probability distribution.

Find the mean of the probability distribution.

u=_ ​(Round to one decimal place as​ needed.)

Find the variance of the probability distribution.

σ2=_ ​(Round to one decimal place as​ needed.)

Find the standard deviation of the probability distribution.

σ=_ (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 0.9 dog with a standard deviation of 0.9 dog.

B. A household on average has 0.5 dog with a standard deviation of 15 dogs.

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

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

Answer 1

Solution

From given information we will calculate,

a) Formula of mean.

Formula of variance

= 0.8802 0.9

Standard deviation

= 0.9382 0.9

b)

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

Option C is correct

Done