Dr. Carter is a veterinarian who sees only dogs and cats. In each appointment, she may or may not give the animal a vaccine. The two-way frequency table summarizes Dr. Carter's 50 appointments last week. Dog Cat (a) P(dog) 0 Vaccine 14 11 Let dog be the event that a randomly chosen appointment (from the table) involved a dog. Let vaccine be the event that a randomly chosen appointment (from the table) included a vaccine. Find the following probabilities. Write your answers as decimals. = (b) P(vaccine and dog) (c) P(vaccine | dog) = 0 No vaccine 6 19 =

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Dr. Carter is a veterinarian who sees only dogs and cats.
In each appointment, she may or may not give the animal a vaccine.
The two-way frequency table summarizes Dr. Carter's 50 appointments last week.
Dog
Cat
Vaccine
14
11
Let dog be the event that a randomly chosen appointment (from the table) involved a dog.
Let vaccine be the event that a randomly chosen appointment (from the table) included a vaccine.
Find the following probabilities. Write your answers as decimals.
(a) P(dog) 0
(b) P(vaccine and dog)
(c) P(vaccine | dog) 0
X
=
=
=
No vaccine
6
19
01
Transcribed Image Text:Dr. Carter is a veterinarian who sees only dogs and cats. In each appointment, she may or may not give the animal a vaccine. The two-way frequency table summarizes Dr. Carter's 50 appointments last week. Dog Cat Vaccine 14 11 Let dog be the event that a randomly chosen appointment (from the table) involved a dog. Let vaccine be the event that a randomly chosen appointment (from the table) included a vaccine. Find the following probabilities. Write your answers as decimals. (a) P(dog) 0 (b) P(vaccine and dog) (c) P(vaccine | dog) 0 X = = = No vaccine 6 19 01
Expert Solution
Step 1

a)

The two-way frequency table is given as follows:

 

Vaccine

No vaccine

Total

Dog

14

6

20

Cat

11

19

30

Total

25

25

50

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