the two - way frequency table below shows data on playing a musical instrument and playing sports for the…
the two - way frequency table below shows data on playing a musical instrument and playing sports for the students in jorges class.\n| |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|\nwhich of the following statements about jorges class is true?\nstudents who do not play sports are more likely to play a musical instrument than students who do play sports.\nthe fewest students play both a sport and a musical instrument.\nstudents who play musical instruments are more likely to play sports than to not play sports.\nmore students do not play sports than play sports.
Answer
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.