Question

the two - way frequency table below shows data on playing a musical instrument and playing sports for the students in jorges class.

play a musical instrument

do not play a musical instrument

total

:--:

:--:

:--:

:--:

play sports

6

8

14

do not play sports

7

3

10

total

13

11

24

which of the following statements about jorges class is true?
students who do not play sports are more likely to play a musical instrument than students who do play sports.
the fewest students play both a sport and a musical instrument.
students who play musical instruments are more likely to play sports than to not play sports.
more students do not play sports than play sports.

Explanation:

Step1: Calcular probabilidades

Probabilidad de un estudiante que no juega deportes jugar un instrumento musical: $\frac{3}{10}$
Probabilidad de un estudiante que juega deportes jugar un instrumento musical: $\frac{6}{14}$

Step2: Comparar probabilidades

Simplificamos $\frac{6}{14}=\frac{3}{7}$. Como $\frac{3}{7}>\frac{3}{10}$, los estudiantes que no juegan deportes son menos propensos a tocar un instrumento musical y los que juegan deportes son más propensos.

Answer:

Students who do not play sports are less likely to play a musical instrument than students who play sports.