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Dr. Taylor 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. Taylor's 80 appointments last week. Cat Dog No vaccine 18 22 Vaccine 24 16 Let vaccine be the event that a randomly chosen appointment (from the table) included a vaccine. Let cat be the event that a randomly chosen appointment (from the table) involved a cat. Find the following probabilities. Write your answers as decimals. |(a) P(vaccine) = 0 |(b) P(cat and vaccine) %3D |(c) P(cat | vaccine) = U

Dr. Taylor 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. Taylor's 80 appointments last week. Cat Dog No vaccine 18 22 Vaccine 24 16 Let vaccine be the event that a randomly chosen appointment (from the table) included a vaccine. Let cat be the event that a randomly chosen appointment (from the table) involved a cat. Find the following probabilities. Write your answers as decimals. |(a) P(vaccine) = 0 |(b) P(cat and vaccine) %3D |(c) P(cat | vaccine) = U

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Dr. Taylor 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 below summarizes Dr. Taylor's 80 appointments last week. | | Cat | Dog | |------------|-----|-----| | No vaccine | 18 | 22 | | Vaccine | 24 | 16 | **Explanation of the Table:** - The table is a two-way frequency table that shows the number of appointments for cats and dogs, categorized by whether or not a vaccine was administered. - The "No vaccine" row indicates appointments where no vaccine was given: 18 for cats and 22 for dogs. - The "Vaccine" row indicates appointments where a vaccine was given: 24 for cats and 16 for dogs. **Definitions:** - Let **vaccine** be the event that a randomly chosen appointment included a vaccine. - Let **cat** be the event that a randomly chosen appointment involved a cat. **Find the following probabilities and write your answers as decimals:** (a) \( P(\text{vaccine}) \) = [ ] (b) \( P(\text{cat and vaccine}) \) = [ ] (c) \( P(\text{cat} \mid \text{vaccine}) \) = [ ]
Transcribed Image Text:Dr. Taylor 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 below summarizes Dr. Taylor's 80 appointments last week. | | Cat | Dog | |------------|-----|-----| | No vaccine | 18 | 22 | | Vaccine | 24 | 16 | **Explanation of the Table:** - The table is a two-way frequency table that shows the number of appointments for cats and dogs, categorized by whether or not a vaccine was administered. - The "No vaccine" row indicates appointments where no vaccine was given: 18 for cats and 22 for dogs. - The "Vaccine" row indicates appointments where a vaccine was given: 24 for cats and 16 for dogs. **Definitions:** - Let **vaccine** be the event that a randomly chosen appointment included a vaccine. - Let **cat** be the event that a randomly chosen appointment involved a cat. **Find the following probabilities and write your answers as decimals:** (a) \( P(\text{vaccine}) \) = [ ] (b) \( P(\text{cat and vaccine}) \) = [ ] (c) \( P(\text{cat} \mid \text{vaccine}) \) = [ ]
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