Can anyone help with this
{(x)= 0 when x<0 or x>3
f(x)={x^2/9 when 0
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OpenStudy (anonymous):
yes, it satisfies all the conditions for probability density function.
to find out cumulative function, you just have to integrate it.
to find out mean, integrate xf(x) dx from 0 to 3
to find out variance, integrate x^2 f(x) dx from 0 to 3, then substract the square of mean
square root of the result is standard deviation
OpenStudy (anonymous):
can you do the calculation on your own?
OpenStudy (anonymous):
trying it out right now. Don't know if its going in correctly.
OpenStudy (anonymous):
let me know what you got as answer
OpenStudy (anonymous):
mean =1?
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OpenStudy (anonymous):
and 8 for Std Dev?
OpenStudy (anonymous):
no, mean= 2.25, according to my calculation
OpenStudy (anonymous):
multiply x with the function to gey mean, that is: x^3 /9
now integrate from 0 to 3
OpenStudy (anonymous):
X^2 you mean or did you take the anti first
?
OpenStudy (anonymous):
ok ok i seei got it
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OpenStudy (anonymous):
2.25 :)
OpenStudy (anonymous):
okay, now calculate the variance, the way i told ^^
OpenStudy (anonymous):
7.5?
OpenStudy (anonymous):
no
OpenStudy (anonymous):
at first, multiply x^2 with x^2/9, that is x^4/9
now integrate from 0 to 3
then subtract SQUARE of the mean from that
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OpenStudy (anonymous):
.3375?
OpenStudy (anonymous):
correct! now take the square root of it
OpenStudy (anonymous):
.5809
OpenStudy (anonymous):
yeah, you got the answer :)
OpenStudy (anonymous):
Thank you SOO much, was giving me a headache :)
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OpenStudy (anonymous):
you are welcome, this is a question of statistics, right?
OpenStudy (anonymous):
bus calc II, but we going through a statistical section :/
OpenStudy (anonymous):
oh, what standard are you in?
OpenStudy (anonymous):
bus admin
OpenStudy (anonymous):
after high school?
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OpenStudy (anonymous):
✓
OpenStudy (anonymous):
oh, i am still in school :/
OpenStudy (anonymous):
just looking at it from a long term wise. Benefit
OpenStudy (anonymous):
yeah, which country are you from? may i know?
OpenStudy (anonymous):
US, u?
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OpenStudy (anonymous):
india, nice to 'meet' you :)
OpenStudy (anonymous):
Nice :). Nice 'meeting' you too, Thank you much :)
OpenStudy (anonymous):
it is midnight there, i guess
OpenStudy (anonymous):
btw, can you gimme a medal?
I go to medal begging sometimes
OpenStudy (anonymous):
of course!
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