Question

Selena converted a two-way frequency table of data about students that take Spanish or French to a table of relative frequencies. A. Use the relative frequency table to determine whether gender is independent of taking Spanish or French. Explain.B Find the probability that a surveyed student is a girl given that they take Spanish.

Answer 1

A.

The key to answering the first question is to know the meaning of independence or independent variable

An Independent variable is one whose measure does not change when that of another variable change

We see no correlation between gender and the language taken. Hence, gender is independent of taking Spanish or French. This means that whether the language is Spanish or French, this causes no variation in the gender

B.

Probability of picking a girl (amongst Spanish taking students) = percentage of girls taking Spanish / Total percentage of students taking Spanish

percentage of girls taking Spanish = 30%

Total percentage of students = 67.5%

`\begin{gathered} P=(n)/(t)=(30)/(67.5)=0.4444\approx44.44 \\ P=44.44 \end{gathered}`

The probability of picking a girl (amongst Spanish taking students) is 44.44%