Answer:
See explanation below.

Step-by-step explanation:
Notation
First we need to define the following events:
E = The student is in a major of enginnering
O= The student is in a major different from enfinnering
M= The student is in the marching band
Solution for the problem
For this case we can calculate the following probability:

And that represent the following event: "Given a randomly selected student is an engineering major, what is the probability the student is in the marching band"
And the probability that need to calculate to compare is this one:

And that represent the following event: "Given a randomly selected student is NOT an engineering major, what is the probability the student is in the marching band"
And if the claim is satisfied we need to see this:

Answer: 680
Step-by-step explanation:
I’m smart
3.75t +8.25b(greater than or equal to) 420
Well, It would be hard to write out the formula and everything here so I wrote it out for you! Work shown!