property distribution of number of dogs per household Dogs 0

property distribution of number of dogs per household

Dogs 0 1 2 3 4 5

Households 0.683 0.198 0.071 0.027 0.012 0.009

1) Find the probability of randomly selecting a household that has fewer than 2 dogs.

2)Find the probability of randomly selecting a household that has at least 1 dog.

3) Find the probability of randomly selecting a household that has between 1 and 3 dogs, inclusive.

Round values 3 decimal places as needed

Solution

1)

P(randomly selecting a household that has fewer than 2 dogs) = P(X=0)+P(X=1)= 0.683+0.198 = 0.881

2)

P(randomly selecting a household that has at least 1 dog) = 1 - P(X<1) = 1 - P(X=0) = 1 - 0.683 = 0.317

3)

P(selecting a household that has between 1 and 3 dogs ) = P(X=1)+P(X=2)+P(X=3) = 0.683+0.198+0.071 = 0.952