Question

2 Complete parts (a) and (b) below. The number of dogs per household in a small town Dogs 0 4 5 Probability 0.658 0.211 0.086 0.025 0.013 0.007 (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 02= (Round to one decimal place as needed.) Find the standard deviation of the probability distribution (Round to one decimal place as needed.) (b) Interpret the results in the context of the real-life situation OA. A household on average has 0.9 dog with a standard deviation of 0.5 dog. O B. A household on average has 0.5 dog with a standard deviation of 0.9 dog. OC. A household on average has 0.5 dog with a standard deviation of 14 dogs. O D. A household on average has 0.9 dog with a standard deviation of 0.9 dog.

Answer 1

Ans:

a)

x	P(x)	x*P(x)	(x-0.545)^2*P(x)
0	0.658	0	0.195
1	0.211	0.211	0.044
2	0.086	0.172	0.182
3	0.025	0.075	0.151
4	0.013	0.052	0.155
5	0.007	0.035	0.139
Total	1	0.545	0.866

mean=0.545$\approx 0.5$

u=0.5

Variance=0.866$\approx 0.9$

ل = 60

standard deviation=sqrt(0.866)=0.931$\approx 0.9$

6'0 = 0

b)

Option B is correct.

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