Answer:

And using the normal standard distribution and the complement rule we got:

Explanation:
For this case we define our random variable X as "fat content per hot dog" and we know the following parameters:

We select a sample of n=35 and we want to find the following probability:

For this case since the sample size is >30 we can use the central limit theorem and we use the z score formula given by:

Replacing we got:

And using the normal standard distribution and the complement rule we got:
