4. A veterinarian with a large practice was interested in whether to concentrate on only purebred dogs or to continue to treat mixed breeds as well. The table below summarizes the spending habits of his clients for the last year. Туре of Dog Pruebred Mixed Breed Total Less than $100 191 213 404 Health Care s100 or more 354 152 506 Spending Total 545 365 910 If one of these dogs was selected at random, what is the probability that $100 or more was spent on the dog's health care last year? Given that one of these dog owners spent less than $100, find the probability that the dog was a mixed breed? (a) (b) (c) Given that a randomly selected dog is a mixed breed, what is the probability that less than S100 was spent on its health care less year? Are the events “spending $100 on health care" and “have a mixed breed dog" independent of dependent? Explain. (d)

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4. A veterinarian with a large practice was interested in whether to concentrate on only
purebred dogs or to continue to treat mixed breeds as well. The table below summarizes the
spending habits of his clients for the last year.
Туре of Dog
Pruebred
Mixed Breed
Total
Less than S100
191
213
404
Нealth Care
S100 or more
354
152
506
Spending
Total
545
365
910
(a)
If one of these dogs was selected at random, what is the probability that $100 or more was
spent on the dog's health care last year?
Given that one of these dog owners spent less than $100, find the probability that the dog
was a mixed breed?
(b)
(c)
Given that a randomly selected dog is a mixed breed, what is the probability that less than
$100 was spent on its health care less year?
Are the events “spending $100 on health care" and “have a mixed breed dog"
independent of dependent? Explain.
(d)
Transcribed Image Text:4. A veterinarian with a large practice was interested in whether to concentrate on only purebred dogs or to continue to treat mixed breeds as well. The table below summarizes the spending habits of his clients for the last year. Туре of Dog Pruebred Mixed Breed Total Less than S100 191 213 404 Нealth Care S100 or more 354 152 506 Spending Total 545 365 910 (a) If one of these dogs was selected at random, what is the probability that $100 or more was spent on the dog's health care last year? Given that one of these dog owners spent less than $100, find the probability that the dog was a mixed breed? (b) (c) Given that a randomly selected dog is a mixed breed, what is the probability that less than $100 was spent on its health care less year? Are the events “spending $100 on health care" and “have a mixed breed dog" independent of dependent? Explain. (d)
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