Chapter 10.7, Problem 4GP

To determine

To find: The number of students who would choose cats as their favorite pet.

Answer to Problem 4GP

  $88$ students are expected to choose cats as their favorite pet.

Explanation of Solution

Given information: Information from a previous survey and statement that now total students are $320$ .

Calculation:

Using data about most popular pets, let us find the experimental probability that a student chooses cat as his/her favorite pet,

Total number of responses $=12+11+6+5+6=40$ .

  $\begin{array}{l}P(cat)=\frac{\text{Number of responses for cat}}{\text{Total number of responses}}\\ \\ =\frac{11}{40}\end{array}$

Let $n$ be the number of students who would choose cat as their favorite pet.

Using percentage proportion,

  $\begin{array}{l}\frac{n}{320}=\frac{11}{40}\\ \\ \Rightarrow n\times 40=3520(Cross-product)\\ \\ \Rightarrow n=\frac{3520}{40}\\ \\ \Rightarrow n=88\end{array}$

Thus, $88$ students are expected to choose cats as their favorite pet.