Some researchers claim there is an association between owning a dog and developing a flea infestation at home. They took a random sample of people living in St. Louis, Missouri, and recorded whether they had a dog and whether they had a flea infestation in their home. The results are shown in the following two-way table:

Has Flea Infestation Does Not Have Flea Infestation

Doesn't have a dog. 8. 350

Has one dog. 12. 140

Has more than one dog. 17. 10

If a person is chosen at random, what is the probability that he or she does not have a flea infestation at home, given that he or she has one dog?

A) 0.02

B) 0.142

C) 0.63

D) 0.921

Question

Mathematics

Quinten Holden

5 January, 08:19

Some researchers claim there is an association between owning a dog and developing a flea infestation at home. They took a random sample of people living in St. Louis, Missouri, and recorded whether they had a dog and whether they had a flea infestation in their home. The results are shown in the following two-way table:

Has Flea Infestation Does Not Have Flea Infestation

Doesn't have a dog. 8. 350

Has one dog. 12. 140

Has more than one dog. 17. 10

If a person is chosen at random, what is the probability that he or she does not have a flea infestation at home, given that he or she has one dog?

A) 0.02

B) 0.142

C) 0.63

D) 0.921

+5

Answers (1)

Know the Answer?

Finnegan Arellano · Answer 1

D) 0.921

Step-by-step explanation:

For those that have one dog

12 have fleas and 140 do not have fleas

Total = 152

P (no fleas) = 140/152 =

0.921