Probability of independent variables
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I want to calculate the probability as
$A=P(W<dfrac{XY^a}{Z^b}).P(W<cY^a)+ P(W>dfrac{XY^a}{Z^b}).P(W<dY^a),$
where, W,X,Y,and Z are independent random variables. X is an exponential random variable, Y and Z are normal random variables, a,b,c, and d are constants. I understand that two terms given above are mutually independent terms. How can I go forward to get "A". Some clues would be really helpful. Perhaps a link to a good book would be great too.
Many thanks
probability probability-theory probability-distributions
asked Nov 20 at 0:10
hakkunamattata
454
add a comment |
up vote
-1
down vote
favorite
I want to calculate the probability as
$A=P(W<dfrac{XY^a}{Z^b}).P(W<cY^a)+ P(W>dfrac{XY^a}{Z^b}).P(W<dY^a),$
where, W,X,Y,and Z are independent random variables. X is an exponential random variable, Y and Z are normal random variables, a,b,c, and d are constants. I understand that two terms given above are mutually independent terms. How can I go forward to get "A". Some clues would be really helpful. Perhaps a link to a good book would be great too.
Many thanks
probability probability-theory probability-distributions
asked Nov 20 at 0:10
hakkunamattata
454
What is $A$ supposed to represent? This question is incomplete.
– Aditya Dua
Nov 20 at 7:10
A is just a dummy variable that represents the answer of the statement given above
– hakkunamattata
Nov 20 at 22:00
add a comment |
up vote
-1
down vote
favorite
up vote
-1
down vote
favorite
I want to calculate the probability as
$A=P(W<dfrac{XY^a}{Z^b}).P(W<cY^a)+ P(W>dfrac{XY^a}{Z^b}).P(W<dY^a),$
where, W,X,Y,and Z are independent random variables. X is an exponential random variable, Y and Z are normal random variables, a,b,c, and d are constants. I understand that two terms given above are mutually independent terms. How can I go forward to get "A". Some clues would be really helpful. Perhaps a link to a good book would be great too.
Many thanks
probability probability-theory probability-distributions
asked Nov 20 at 0:10
hakkunamattata
454
I want to calculate the probability as
$A=P(W<dfrac{XY^a}{Z^b}).P(W<cY^a)+ P(W>dfrac{XY^a}{Z^b}).P(W<dY^a),$
where, W,X,Y,and Z are independent random variables. X is an exponential random variable, Y and Z are normal random variables, a,b,c, and d are constants. I understand that two terms given above are mutually independent terms. How can I go forward to get "A". Some clues would be really helpful. Perhaps a link to a good book would be great too.
Many thanks
probability probability-theory probability-distributions
probability probability-theory probability-distributions
asked Nov 20 at 0:10
hakkunamattata
454
asked Nov 20 at 0:10
hakkunamattata
454
asked Nov 20 at 0:10
hakkunamattata
454
asked Nov 20 at 0:10
hakkunamattata
454
asked Nov 20 at 0:10
hakkunamattata
454
454
What is $A$ supposed to represent? This question is incomplete.
– Aditya Dua
Nov 20 at 7:10
A is just a dummy variable that represents the answer of the statement given above
– hakkunamattata
Nov 20 at 22:00
add a comment |
What is $A$ supposed to represent? This question is incomplete.
– Aditya Dua
Nov 20 at 7:10
A is just a dummy variable that represents the answer of the statement given above
– hakkunamattata
Nov 20 at 22:00
What is $A$ supposed to represent? This question is incomplete.
– Aditya Dua
Nov 20 at 7:10
What is $A$ supposed to represent? This question is incomplete.
– Aditya Dua
Nov 20 at 7:10
A is just a dummy variable that represents the answer of the statement given above
– hakkunamattata
Nov 20 at 22:00
A is just a dummy variable that represents the answer of the statement given above
– hakkunamattata
Nov 20 at 22:00
add a comment |
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What is $A$ supposed to represent? This question is incomplete.
– Aditya Dua
Nov 20 at 7:10
A is just a dummy variable that represents the answer of the statement given above
– hakkunamattata
Nov 20 at 22:00