anonymous
  • anonymous
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
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
UnkleRhaukus
  • UnkleRhaukus
there is something missing from your question
anonymous
  • anonymous
no its the actual question
anonymous
  • anonymous
1 Attachment

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

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

Looking for something else?

Not the answer you are looking for? Search for more explanations.