Answer: [tex]X\sim N(2689,\560)[/tex]
Step-by-step explanation:
Let X be a random variable that represents the number of calories consumed.
Given : The number of calories consumed by customers at the Chinese buffet is normally distributed with mean 2689 and standard deviation 560.
i.e. Population mean : [tex]\mu=2689[/tex]
Population standard deviation: [tex]\sigma=560[/tex].
We can say X follows normal distribution [tex]\mu=2689[/tex] and  [tex]\sigma=560[/tex]
So , the distribution of X : [tex]X\sim N(\mu,\ \sigma)[/tex]
i.e. [tex]X\sim N(2689,\560)[/tex]
