The number of dogs per household in a small town Dogs 0 1 2 3 4 5 Probability 0.
ID: 3204329 • Letter: T
Question
The number of dogs per household in a small town Dogs 0 1 2 3 4 5 Probability 0.684 0.198 0.079 0.022 0.012 0.006 sigmaequals=nothing (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
0.50.5
dog with a standard deviation of
1212
dogs.
B.
A household on average has
0.90.9
dog with a standard deviation of
0.50.5
dog.
C.
A household on average has
0.80.8
dog with a standard deviation of
0.90.9
dog.
D.
A household on average has
0.50.5
dog with a standard deviation of
0.90.9
dog.
Explanation / Answer
mean is E(x)=x*f(x)=0*0.684+1*0.198+2*0.079+3*0.022+4*0.012+5*0.006=0.5
Also Variance Var(x)=E(x2)-E(x)2
Therefore, E(x2)=x2f(x) =02*0.684+12*0.198+22*0.079+32*0.022+42*0.012+52*0.006=1.054
therefore variance is 1.054-0.52 = 0.804
standard deviation is square root of variance i.e sqrt(0.804)=0.9
Hence, option D is correct