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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
 one year ago
 one year ago
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
 one year ago
 one year ago

This Question is Closed

UnkleRhaukusBest ResponseYou've already chosen the best response.1
there is something missing from your question
 one year ago

yashar806Best ResponseYou've already chosen the best response.1
no its the actual question
 one year ago

UnkleRhaukusBest ResponseYou've already chosen the best response.1
you have to compair the standard deviations of each curve, remember that the sum of areas under each curve is one
 one year ago

yashar806Best ResponseYou've already chosen the best response.1
but , how ? could you explain it?
 one year ago

UnkleRhaukusBest ResponseYou've already chosen the best response.1
dw:1363240984062:dw
 one year ago

UnkleRhaukusBest ResponseYou've already chosen the best response.1
theses are two normal curves with the same mean , but different std.div
 one year ago

UnkleRhaukusBest ResponseYou've already chosen the best response.1
the both have the same area ,; the sum of densities is one
 one year ago

yashar806Best ResponseYou've already chosen the best response.1
there are not same mean?
 one year ago

UnkleRhaukusBest ResponseYou've already chosen the best response.1
can you tell be which curve has the greatest std. div , the red or black curve
 one year ago

UnkleRhaukusBest ResponseYou've already chosen the best response.1
right , because less of the red is as close the mean as the black
 one year ago

UnkleRhaukusBest ResponseYou've already chosen the best response.1
now if the means are different will this effect which is taller ?
 one year ago

UnkleRhaukusBest ResponseYou've already chosen the best response.1
right , the maximun height of the curve is only dependent of the std.div
 one year ago

UnkleRhaukusBest ResponseYou've already chosen the best response.1
So Y has a std.div of 10 and X has a std.div of 5
 one year ago

UnkleRhaukusBest ResponseYou've already chosen the best response.1
something like this dw:1363241494740:dw
 one year ago

yashar806Best ResponseYou've already chosen the best response.1
so x has higher density curve ?
 one year ago

yashar806Best ResponseYou've already chosen the best response.1
and the area under the density curve for X is less then (ii) the area under the density curve for Y .
 one year ago

UnkleRhaukusBest ResponseYou've already chosen the best response.1
x has higher density ✓
 one year ago

UnkleRhaukusBest ResponseYou've already chosen the best response.1
remember that the area under each density curve must sum to one
 one year ago

UnkleRhaukusBest ResponseYou've already chosen the best response.1
does it make senses now?
 one year ago
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