Respuesta :
Answer:
99.7% of customers have to wait between 8 minutes to 30 minutes for their food.
Step-by-step explanation:
We are given the following in the question:
Mean, μ = 18 minutes
Standard Deviation, σ = 4 minutes
We are given that the distribution of amount of time is a bell shaped distribution that is a normal distribution.
Empirical Formula:
- Almost all the data lies within three standard deviation from the mean for a normally distributed data.
- About 68% of data lies within one standard deviation from the mean.
- About 95% of data lies within two standard deviations of the mean.
- About 99.7% of data lies within three standard deviation of the mean.
Thus, 99.7% of the customers have to wait:
[tex]\mu -3\sigma = 18-3(4) = 6\\\mu +3\sigma = 18+3(4) = 30[/tex]
Thus, 99.7% of customers have to wait between 8 minutes to 30 minutes for their food.
In normally distribution of food , 99.7 % of customers have to wait between 6 minute and 30 minutes.
Given that, mean [tex]\mu[/tex] = 18 minute and standard deviation [tex]\sigma[/tex] = 4
In normal distribution curve 99.7% of data lies within three standard deviation of the mean.
Since, normal distribution curve is symmetrical.
Now we have to calculate,
[tex]\mu-3\sigma =18-3(4)=18-12=6\\\\\mu+3\sigma=18+3(4)=18+12=30[/tex]
Therefore, 99.7 % of customers have to wait between 6 minute and 30 minutes.
Learn more about normal distribution here :
https://brainly.com/question/8494763
