Question

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 the veterinarian treats is a dog.
b) determine the empirical probability that the next animal the veterinarian treats is a rabbit.
c) determine the empirical probability that the next animal the veterinarian treats is a bird.

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$$\begin{array}{|l|c|} \\hline \\text{animal} & \\text{number treated} \\\\ \\hline \\text{dog} & 35 \\\\ \\text{cat} & 40 \\\\ \\text{bird} & 15 \\\\ \\text{rabbit} & 10 \\\\ \\hline \\end{array}$$

a) \\(p(\text{dog}) = \frac{7}{20}\\) (type an integer or a simplified fraction.)

b) \\(p(\text{rabbit}) = \frac{1}{10}\\) (type an integer or a simplified fraction.)

c) \\(p(\text{bird}) = \\) (type an integer or a simplified fraction.)

Explanation:

Calculate total animals treated

Using the Empirical Probability knowledge point

$$ \text{Total} = 35 + 40 + 15 + 10 = 100 $$

Determine probability for part a

Using the Empirical Probability and Fraction Simplification knowledge points

$$ P(\text{dog}) = \frac{35}{100} = \frac{7}{20} $$

Determine probability for part b

Using the Empirical Probability and Fraction Simplification knowledge points

$$ P(\text{rabbit}) = \frac{10}{100} = \frac{1}{10} $$

Determine probability for part c

Using the Empirical Probability and Fraction Simplification knowledge points

$$ P(\text{bird}) = \frac{15}{100} = \frac{3}{20} $$

Answer:

Question 1

a) \(P(\text{dog}) =\) <blank>\(\frac{7}{20}\)</blank> (Type an integer or a simplified fraction.)

Question 2

b) \(P(\text{rabbit}) =\) <blank>\(\frac{1}{10}\)</blank> (Type an integer or a simplified fraction.)

Question 3

c) \(P(\text{bird}) =\) <blank>\(\frac{3}{20}\)</blank> (Type an integer or a simplified fraction.)