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A variable X follows a normal distribution with mean 10 and standard deviation 5. Another variable Y follows a normal distribution with mean 25 and standard deviation 10. The maximum height of the density curve for X is_______ (i) the maximum height for the density curve for Y , and the area under the density curve for X is__________ (ii) the area under the density curve for Y . (A) (i) greater than, (ii) less than (B) (i) less than, (ii) greater than (C) (i) equal to, (ii) equal to (D) (i) greater than, (ii) equal to (E) (i) less than, (ii) less than

Mathematics
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there is something missing from your question
no its the actual question
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check that one
are u there?
you have to compair the standard deviations of each curve, remember that the sum of areas under each curve is one
but , how ? could you explain it?
|dw:1363240984062:dw|
theses are two normal curves with the same mean , but different std.div
the both have the same area ,; the sum of densities is one
there are not same mean?
can you tell be which curve has the greatest std. div , the red or black curve
red?
right , because less of the red is as close the mean as the black
now if the means are different will this effect which is taller ?
no
right , the maximun height of the curve is only dependent of the std.div
So Y has a std.div of 10 and X has a std.div of 5
something like this |dw:1363241494740:dw|
so x has higher density curve ?
and the area under the density curve for X is less then (ii) the area under the density curve for Y .
is that righ?
hello?
x has higher density ✓
remember that the area under each density curve must sum to one
so its same
euqal
yerh
thank you so much
i got it
does it make senses now?
yes thanks
cool

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