Question

the graph shows the distribution of the amount of time (in minutes) people spend watching tv shows on a popular streaming service. the distribution is approximately normal, with a mean of 71 minutes and a standard deviation of 15 minutes. sixteen percent of people spend more than what amount of time watching tv shows on this streaming service? 41 minutes 56 minutes 86 minutes 101 minutes

Explanation:

Step1: Aplicar la regla empírica (68 - 95 - 99.7)

En una distribución normal, aproximadamente el 68% de los datos está dentro de \( \mu\pm\sigma \), el 95% dentro de \( \mu\pm2\sigma \) y el 99.7% dentro de \( \mu\pm3\sigma \). Aquí, \( \mu = 71 \) y \( \sigma=15 \).
El 16% de los datos está por encima de \( \mu+\sigma \).

Step2: Calcular \( \mu+\sigma \)

Sustituir \( \mu = 71 \) y \( \sigma = 15 \) en \( \mu+\sigma \).
\( 71+15=86 \)

Answer:

86 minutes