yashar806
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
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UnkleRhaukus
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there is something missing from your question
yashar806
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no its the actual question
yashar806
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yashar806
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check that one
yashar806
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are u there?
UnkleRhaukus
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you have to compair the standard deviations of each curve, remember that the sum of areas under each curve is one
yashar806
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but , how ? could you explain it?
UnkleRhaukus
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|dw:1363240984062:dw|
UnkleRhaukus
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theses are two normal curves with the same mean , but different std.div
UnkleRhaukus
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the both have the same area ,; the sum of densities is one
yashar806
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there are not same mean?
UnkleRhaukus
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can you tell be which curve has the greatest std. div , the red or black curve
yashar806
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red?
UnkleRhaukus
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right , because less of the red is as close the mean as the black
UnkleRhaukus
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now if the means are different will this effect which is taller ?
yashar806
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no
UnkleRhaukus
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right , the maximun height of the curve is only dependent of the std.div
UnkleRhaukus
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So Y has a std.div of 10
and X has a std.div of 5
UnkleRhaukus
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something like this |dw:1363241494740:dw|
yashar806
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so x has higher density curve ?
yashar806
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and the area under the density curve for
X is less then (ii) the area under the density curve for Y .
yashar806
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is that righ?
yashar806
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hello?
UnkleRhaukus
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x has higher density ✓
UnkleRhaukus
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remember that the area under each density curve must sum to one
yashar806
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so its same
yashar806
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euqal
UnkleRhaukus
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yerh
yashar806
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thank you so much
yashar806
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i got it
UnkleRhaukus
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does it make senses now?
yashar806
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yes thanks
UnkleRhaukus
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cool