<h2>
Answer:</h2>
No, being a freshman and taking Spanish are not independent.
<h2>
Step-by-step explanation:</h2>
Let A denote the event that the student is a freshman.
B denote the event that the student is taking Spanish.
Let A∩B denote the event that the the student is a freshman and takes Spanish.
Let P denote the probability of an event.
Now we know that:
Two events A and B are said to be independent if:

Also, in such a condition we have:

Now here we have:

Also we are given,

( Since, we are given The probability that a student takes Spanish given that he/she is a freshman is 30% )
As we see that:

Hence, being a freshman and taking Spanish are not independent.