edvhou812 wrote:

factor26 wrote:Hi

Can anyone explain the sentence "the gender distrinution for finance majors and non finance majors is the same."

The same as what? ... I actually just reread this again, gender distribution is referring to male and female (naturally) and
Each class of student finance or not. It just seems a little tricky here can someone better explain this?

The ratio between males and females among the majors is the same. For example: If there are 100 non-finance majors, 50 would be male and 50 would be female.

In a given finance lecture, 30% of the students are finance majors, and 40% of the students are female. The gender distribution for finance majors and non-finance majors is the same. If one student is called on at random, what is the probability that the student is neither female nor a finance major?

jaymw wrote:

edvhou812 wrote:

factor26 wrote:Hi

Can anyone explain the sentence "the gender distrinution for finance majors and non finance majors is the same."

The same as what? ... I actually just reread this again, gender distribution is referring to male and female (naturally) and
Each class of student finance or not. It just seems a little tricky here can someone better explain this?

The ratio between males and females among the majors is the same. For example: If there are 100 non-finance majors, 50 would be male and 50 would be female.

No. If it were like this, i.e. if in every major there were 50% females and 50% males, then that would go counter the statement that in total there are only 40% females.

shovan85 wrote:

DanaJ wrote:Source: Veritas Prep

In a given finance lecture, 30% of the students are finance majors, and 40% of the students are female. The gender distribution for finance majors and non-finance majors is the same. If one student is called on at random, what is the probability that the student is neither female nor a finance major?

A) 70%
B) 60%
C) 58%
D) 42%
E) 30%

Experts: only Veritas Prep experts, please!

IMO D

Draw a box diagram as shown below. The 4 parameters here are Female, Male, Finance major, Non Finance major.

As it is in percentage take the total as 100. (Shown in Yellow)

30% of the students are finance majors (shown in Yellow) and 40% of the students are female (shown in Yellow)

Thus, remaining total Non finance students 70%(shown in Orange) and 60% of the students are male (shown in Orange).

Say female non finance be x then female finance will be 40-x
Say male non finance be y then female finance will be 60-y

Now question says The gender distribution for finance majors and non-finance majors is the same.

Thus x/(40-x) = y/(60-y) ...(1)

and we know x+y = 70 then x = 70-y.

Put 70-y at the place of x in eqn(1) thus solving we get y = 42 (shown red)

Now see what is y? It is the student neither female nor a finance major.

Thus 42/100 = 42%