Stats Question Use the probability distribution to find probabilities in parts (

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

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