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	0.632	0.236	0.087	0.022	0.016	0.007

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

​(b) Interpret the results in the context of the​ real-life situation.

A.A household on average has

0.90.9

dog with a standard deviation of

0.60.6

dog.

B.A household on average has

0.60.6

dog with a standard deviation of

0.90.9

dog.

C.A household on average has

0.90.9

dog with a standard deviation of

0.90.9

dog.

D.A household on average has

0.60.6

dog with a standard deviation of

1414

dogs.

Answer 1

We know that mean of discrete probability distribution is -

Mean = n * p = 0.6 (Rounded to one decimal places)

and Standard deviation = sqrt [ (x - mean)² *P(x) ] = 0.9  (Rounded to one decimal places)

Hence B.A household on average has 0.6 dog with a standard deviation of 0.9 is the correct answer.

Hope this will help you. Thank you :)