Answer: ![X\sim N(2689,\560)](https://tex.z-dn.net/?f=X%5Csim%20N%282689%2C%5C560%29)
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 : ![\mu=2689](https://tex.z-dn.net/?f=%5Cmu%3D2689)
Population standard deviation:
.
We can say X follows normal distribution
and
So , the distribution of X : ![X\sim N(\mu,\ \sigma)](https://tex.z-dn.net/?f=X%5Csim%20N%28%5Cmu%2C%5C%20%5Csigma%29)
i.e. ![X\sim N(2689,\560)](https://tex.z-dn.net/?f=X%5Csim%20N%282689%2C%5C560%29)