Stats Question Use the probability distribution to find probabilities in parts (
ID: 3043266 • Letter: S
Question
Stats Question
Use the probability distribution to find probabilities in parts (a) through (c). The probability distribution of number of dogs per household in a small town
Dogs/Households: 0/0.681 | 1/0.197 | 2/0.073 | 3/0.027 | 4/0.013 | 5/0.009
(a) Find the probability of randomly selecting a household that has fewer than two dogs. ______ (Round to three decimal places as needed.)
(b) Find the probability of randomly selecting a household that has at least one dog. ______ (Round to three decimal places as needed.)
(c) Find the probability of randomly selecting a household that has between one and three dogs, inclusive. _____ (Round to three decimal places as needed.)
Explanation / Answer
a) P(Fewer than two dogs) = P(0) + P(1) = 0.681 + 0.197 = 0.878
b) P(Atleast one dog) = 1 - P(No Dog) = 1 - 0.681 = 0.319
c) P(Between one and three dogs) = P(1) + P(2) + P(3) = 0.197 + 0.073 + 0.027 = 0.297