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: