Question content area top left Part 1 In a given week, a veterinarian treated the animals in the accompanying table. Use this information to complete parts (a) through (c). a) Determine the empirical probability that the next animal she treats is a cat. b) Determine the empirical probability that the next animal she treats is a dog. c) Determine the empirical probability that the next animal she treats is a rabbit. . . . Question content area top right Part 1 Animal Number Treated Dog 40 Cat 45 Bird 5 Rabbit 10 Question content area bottom Part 1 a) P(cat)equals enter your response here (Type an integer or a simplified fraction.)

These probabilities represent the likelihood of the next animal the veterinarian treats being a cat, dog, or rabbit based on the data provided in the table.

Step-by-step explanation:

In order to determine the empirical probability of the next animal the veterinarian treats being a cat, dog, or rabbit, we need to use the information provided in the table.

Here's how you can calculate the empirical probabilities for each animal:

1. **Empirical Probability of Treating a Cat:**

- The number of cats treated is 45.

- Total number of animals treated is 40 (dogs) + 45 (cats) + 5 (birds) + 10 (rabbits) = 100.

- Empirical probability of treating a cat = Number of cats treated / Total number of animals treated = 45 / 100 = 0.45 or 45%.

2. **Empirical Probability of Treating a Dog:**

- The number of dogs treated is 40.

- Total number of animals treated is 100.

- Empirical probability of treating a dog = Number of dogs treated / Total number of animals treated = 40 / 100 = 0.4 or 40%.

3. **Empirical Probability of Treating a Rabbit:**

- The number of rabbits treated is 10.

- Total number of animals treated is 100.

- Empirical probability of treating a rabbit = Number of rabbits treated / Total number of animals treated = 10 / 100 = 0.1 or 10%.

Therefore, the empirical probabilities are:

- P(cat) = 0.45 or 45%

- P(dog) = 0.4 or 40%

- P(rabbit) = 0.1 or 10%

These probabilities represent the likelihood of the next animal the veterinarian treats being a cat, dog, or rabbit based on the data provided in the table.