Answer:



And we can use the normal standard distribution or excel to find this probability and we got:

Step-by-step explanation:
We define the parameter as the proportion of students at a college who study abroad and this value is known
, we select a sample size of n =40 and we are interested in the probability associated to the sample proportion, but we know that the distirbution for the sample proportion is given by:

And the paramters for this case are:


We want to find the following probability:

For this case since we know the distribution for the sample proportion we can use the z score formula given by:

Replacing the info given we got:

And we can use the normal standard distribution or excel to find this probability and we got:
