question: the amount of time a certain brand of light bulb lasts is normally distributed with a mean of 1500…

question: the amount of time a certain brand of light bulb lasts is normally distributed with a mean of 1500 hours and a standard deviation of 65 hours. using the empirical rule, what percentage of light bulbs last between 1305 hours and 1695 hours? answer: attempt 1 out of 4

question: the amount of time a certain brand of light bulb lasts is normally distributed with a mean of 1500 hours and a standard deviation of 65 hours. using the empirical rule, what percentage of light bulbs last between 1305 hours and 1695 hours? answer: attempt 1 out of 4

Answer

Explicación:

Paso 1: Calcular los desvios estándar

Calculamos los desvios estándar para los valores dados. Para $x_1 = 1305$: $z_1=\frac{1305 - 1500}{65}=\frac{- 195}{65}=-3$ Para $x_2 = 1695$: $z_2=\frac{1695 - 1500}{65}=\frac{195}{65}=3$

Paso 2: Aplicar la regla empírica

La regla empírica establece que en una distribución normal, aproximadamente el 99.7% de los datos caen dentro de $z=- 3$ y $z = 3$.

Respuesta:

99.7%