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SVEN [57.7K]
3 years ago
5

7. The claim that started this investigation was that students majoring in engineering are more likely to be in the marching ban

d than students from other majors.
Describe the conditional probabilities that would be used to determine if this claim is accurate.
Mathematics
1 answer:
Genrish500 [490]3 years ago
8 0

Answer:

See explanation below.

P(M|E) > P(M|O)

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:

P(M|E) =\frac{P(M and E)}{P(E)}

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:

P(M|O) =\frac{P(M and O)}{P(O)}

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:

P(M|E) > P(M|O)

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