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.edvhou812 wrote: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.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?
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let total=100In 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?
Finance=30
non finance=70
F=40
M=60
let gender ratio for finance and non finance be x female:1 male
thus female = x*30/(x+1) + x*70(x+1) = 40
x/(x+1)=2/5
x=2/3
thus 2female:3 male
thus 3 male per total 5 persons
out of 70 non finance, male = (3/5)*70 = 42
IMO D
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I go for option D.
I basically did simple maths and used approximation.
Knowing that 70% are non finance majors and the distribution of 60-40 for male-female:
50% (as an approximation of 60% requested) of 70% (non finance majors) = 35.
It has to be a little bit more than that and looking at the questions, 42% (option D) is the closest to that figure.
I prefer to use simple maths and use the answers rather that go into maths and potentially make a mistake.
I basically did simple maths and used approximation.
Knowing that 70% are non finance majors and the distribution of 60-40 for male-female:
50% (as an approximation of 60% requested) of 70% (non finance majors) = 35.
It has to be a little bit more than that and looking at the questions, 42% (option D) is the closest to that figure.
I prefer to use simple maths and use the answers rather that go into maths and potentially make a mistake.
The statement means that the females are evenly distributed between finance majors and non-finance majors. Implies that females/males(in finance majors) = females/males(in non-finance majors).jaymw wrote: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.edvhou812 wrote: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.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?
40% of 70%(Non finance major total students) = 40/100 * 70% = 28%
40% of 30%(Finance major total students) = 40/100 * 30% = 12%
If we add the two figures 28% + 12% = 40%. This can be done to cross check the answer.
Best Regards,
JOHN
The key to the problem was realizing that the ratio of male to female is constant in finance and non finance majors.
Just draw a table:
SO, ans is 42%
Just draw a table:
SO, ans is 42%
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Using Venn diagram
(D) 42% is the ans
(D) 42% is the ans
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I don't know what in the world I'm doing wrong (I'm certain a total brain fart), but when I plug 70-y back into equation (1), I'm getting -30y=4200. Where am I going wrong. I see the logic. I just for the life of me cannot figure out where I'm going wrong.shovan85 wrote:IMO DDanaJ 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!
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%
This is a little difficult statement to understand, otherwise question is good & easy.
The gender distribution for finance majors and non-finance majors is the same.
42% is the answer.
The gender distribution for finance majors and non-finance majors is the same.
42% is the answer.












