at a local restaurant, the amount of time that customers have to wait for their food is normally distributed…

at a local restaurant, the amount of time that customers have to wait for their food is normally distributed with a mean of 26 minutes and a standard deviation of 5 minutes. using the empirical rule, what percentage of customers have to wait between 16 minutes and 36 minutes?

at a local restaurant, the amount of time that customers have to wait for their food is normally distributed with a mean of 26 minutes and a standard deviation of 5 minutes. using the empirical rule, what percentage of customers have to wait between 16 minutes and 36 minutes?

Answer

Explanation:

Step1: Calcular los desvios estándar

Calculamos cuántos desvios estándar son los valores 16 y 36 con respecto a la media. Para $x = 16$: $z_1=\frac{16 - 26}{5}=\frac{- 10}{5}=-2$ Para $x = 36$: $z_2=\frac{36 - 26}{5}=\frac{10}{5}=2$

Step2: Aplicar la regla empírica

La regla empírica para una distribución normal dice que aproximadamente el 95% de los datos se encuentran dentro de 2 desvios estándar de la media.

Answer:

95%