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.
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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.
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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%
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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.