select the correct answer.\nthe number of music cds sold weekly by a store follows a normal distribution…

select the correct answer.\nthe number of music cds sold weekly by a store follows a normal distribution with a mean of 455 and a standard deviation of 65. which sentence summarizes this information?\na. there is an 84% chance that the shop sells more than 390 cds in a week.\nb. there is a 34% chance that the shop sells more than 390 cds in a week.\nc. there is a 34% chance that the shop sells fewer than 390 cds in a week.\nd. there is a 68% chance that the shop sells fewer than 390 cds in a week.\ne. there is a 95% chance that the shop sells more than 390 cds in a week.

select the correct answer.\nthe number of music cds sold weekly by a store follows a normal distribution with a mean of 455 and a standard deviation of 65. which sentence summarizes this information?\na. there is an 84% chance that the shop sells more than 390 cds in a week.\nb. there is a 34% chance that the shop sells more than 390 cds in a week.\nc. there is a 34% chance that the shop sells fewer than 390 cds in a week.\nd. there is a 68% chance that the shop sells fewer than 390 cds in a week.\ne. there is a 95% chance that the shop sells more than 390 cds in a week.

Answer

Explanation:

Step1: Calcular el valor z

Usar la fórmula (z=\frac{x - \mu}{\sigma}), donde (x = 390), (\mu=455) y (\sigma = 65). [z=\frac{390 - 455}{65}=\frac{- 65}{65}=-1]

Step2: Usar la regla empírica (68 - 95 - 99.7)

En una distribución normal, el 68% de los datos está entre (z=-1) y (z = 1), el 16% está por debajo de (z=-1) y el 84% está por encima de (z=-1).

Answer:

A. There is an 84% chance that the shop sells more than 390 CDs in a week.