Finding probability, when density function is given
I have density function $f(x,y)=4xy mathbb{I}_{[0,1] times [0,1]}(x,y)$.
I need to find:
1) $mathbb{P}_F([0,1/3]times[0,1/2])$
2) $mathbb{P}_F([2/3,1]timesmathbb{R})$
So in 1) I got $1/36$ I don’t know is it right, but I was integrating $f(x,y)$. Actually, I also find $Delta_s F$ and got the same.
2) I can’t get the answer. Or the answer is 0. I am not sure. I was doing the same as in 1) Can somebody help me with this?
probability integration probability-theory density-function
asked Nov 28 '18 at 9:32
Atstovas
937
add a comment |
I have density function $f(x,y)=4xy mathbb{I}_{[0,1] times [0,1]}(x,y)$.
I need to find:
1) $mathbb{P}_F([0,1/3]times[0,1/2])$
2) $mathbb{P}_F([2/3,1]timesmathbb{R})$
So in 1) I got $1/36$ I don’t know is it right, but I was integrating $f(x,y)$. Actually, I also find $Delta_s F$ and got the same.
2) I can’t get the answer. Or the answer is 0. I am not sure. I was doing the same as in 1) Can somebody help me with this?
probability integration probability-theory density-function
asked Nov 28 '18 at 9:32
Atstovas
937
add a comment |
I have density function $f(x,y)=4xy mathbb{I}_{[0,1] times [0,1]}(x,y)$.
I need to find:
1) $mathbb{P}_F([0,1/3]times[0,1/2])$
2) $mathbb{P}_F([2/3,1]timesmathbb{R})$
So in 1) I got $1/36$ I don’t know is it right, but I was integrating $f(x,y)$. Actually, I also find $Delta_s F$ and got the same.
2) I can’t get the answer. Or the answer is 0. I am not sure. I was doing the same as in 1) Can somebody help me with this?
probability integration probability-theory density-function
asked Nov 28 '18 at 9:32
Atstovas
937
I have density function $f(x,y)=4xy mathbb{I}_{[0,1] times [0,1]}(x,y)$.
I need to find:
1) $mathbb{P}_F([0,1/3]times[0,1/2])$
2) $mathbb{P}_F([2/3,1]timesmathbb{R})$
So in 1) I got $1/36$ I don’t know is it right, but I was integrating $f(x,y)$. Actually, I also find $Delta_s F$ and got the same.
2) I can’t get the answer. Or the answer is 0. I am not sure. I was doing the same as in 1) Can somebody help me with this?
probability integration probability-theory density-function
probability integration probability-theory density-function
asked Nov 28 '18 at 9:32
Atstovas
937
asked Nov 28 '18 at 9:32
Atstovas
937
asked Nov 28 '18 at 9:32
Atstovas
937
asked Nov 28 '18 at 9:32
Atstovas
937
asked Nov 28 '18 at 9:32
Atstovas
937
937
add a comment |
add a comment |
1 Answer
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Answer to 2) is $int_0^{1}int_{2/3}^{1} 4xy dx dy=5/9$.
answered Nov 28 '18 at 9:36
Kavi Rama Murthy
50.7k31854
Got it! Thank you
– Atstovas
Nov 28 '18 at 9:44
add a comment |
Your Answer
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1 Answer
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1 Answer
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Answer to 2) is $int_0^{1}int_{2/3}^{1} 4xy dx dy=5/9$.
answered Nov 28 '18 at 9:36
Kavi Rama Murthy
50.7k31854
Got it! Thank you
– Atstovas
Nov 28 '18 at 9:44
add a comment |
Answer to 2) is $int_0^{1}int_{2/3}^{1} 4xy dx dy=5/9$.
answered Nov 28 '18 at 9:36
Kavi Rama Murthy
50.7k31854
Got it! Thank you
– Atstovas
Nov 28 '18 at 9:44
add a comment |
Answer to 2) is $int_0^{1}int_{2/3}^{1} 4xy dx dy=5/9$.
answered Nov 28 '18 at 9:36
Kavi Rama Murthy
50.7k31854
Answer to 2) is $int_0^{1}int_{2/3}^{1} 4xy dx dy=5/9$.
answered Nov 28 '18 at 9:36
Kavi Rama Murthy
50.7k31854
answered Nov 28 '18 at 9:36
Kavi Rama Murthy
50.7k31854
answered Nov 28 '18 at 9:36
Kavi Rama Murthy
50.7k31854
answered Nov 28 '18 at 9:36
Kavi Rama Murthy
50.7k31854
50.7k31854
Got it! Thank you
– Atstovas
Nov 28 '18 at 9:44
add a comment |
Got it! Thank you
– Atstovas
Nov 28 '18 at 9:44
Got it! Thank you
– Atstovas
Nov 28 '18 at 9:44
Got it! Thank you
– Atstovas
Nov 28 '18 at 9:44
add a comment |
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