Random Variable (distribution) [on hold]

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if $f(x) = 2xe^{-x^2}$ for $x>0$ and $Y=X^2$.
Find:
- (a) the distribution function of $Y$
- (b) the probability density of $Y$
probability statistics
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put on hold as off-topic by John Doe, drhab, Math1000, Saad, Did 2 days ago
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – John Doe, drhab, Math1000, Saad, Did
If this question can be reworded to fit the rules in the help center, please edit the question.
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if $f(x) = 2xe^{-x^2}$ for $x>0$ and $Y=X^2$.
Find:
- (a) the distribution function of $Y$
- (b) the probability density of $Y$
probability statistics
New contributor
sriram is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
put on hold as off-topic by John Doe, drhab, Math1000, Saad, Did 2 days ago
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – John Doe, drhab, Math1000, Saad, Did
If this question can be reworded to fit the rules in the help center, please edit the question.
Please edit your question to include your attempt and also tell us where are you struck.
– Siong Thye Goh
2 days ago
What is function $f$? and what have you tried? Add your efforts to the question.
– drhab
2 days ago
add a comment |
if $f(x) = 2xe^{-x^2}$ for $x>0$ and $Y=X^2$.
Find:
- (a) the distribution function of $Y$
- (b) the probability density of $Y$
probability statistics
New contributor
sriram is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
if $f(x) = 2xe^{-x^2}$ for $x>0$ and $Y=X^2$.
Find:
- (a) the distribution function of $Y$
- (b) the probability density of $Y$
probability statistics
probability statistics
New contributor
sriram is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
New contributor
sriram is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
edited 2 days ago


drhab
98.4k544129
98.4k544129
New contributor
sriram is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked 2 days ago


sriram sriram
1
1
New contributor
sriram is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
New contributor
sriram is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
sriram is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
put on hold as off-topic by John Doe, drhab, Math1000, Saad, Did 2 days ago
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – John Doe, drhab, Math1000, Saad, Did
If this question can be reworded to fit the rules in the help center, please edit the question.
put on hold as off-topic by John Doe, drhab, Math1000, Saad, Did 2 days ago
This question appears to be off-topic. The users who voted to close gave this specific reason:
- "This question is missing context or other details: Please provide additional context, which ideally explains why the question is relevant to you and our community. Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc." – John Doe, drhab, Math1000, Saad, Did
If this question can be reworded to fit the rules in the help center, please edit the question.
Please edit your question to include your attempt and also tell us where are you struck.
– Siong Thye Goh
2 days ago
What is function $f$? and what have you tried? Add your efforts to the question.
– drhab
2 days ago
add a comment |
Please edit your question to include your attempt and also tell us where are you struck.
– Siong Thye Goh
2 days ago
What is function $f$? and what have you tried? Add your efforts to the question.
– drhab
2 days ago
Please edit your question to include your attempt and also tell us where are you struck.
– Siong Thye Goh
2 days ago
Please edit your question to include your attempt and also tell us where are you struck.
– Siong Thye Goh
2 days ago
What is function $f$? and what have you tried? Add your efforts to the question.
– drhab
2 days ago
What is function $f$? and what have you tried? Add your efforts to the question.
– drhab
2 days ago
add a comment |
1 Answer
1
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oldest
votes
Hint:
Find the derivative of $1-e^{-x^2}$ and draw conclusions concerning the cumulative distribution function of (I guess) $X$.
Your question does not make that clear.
add a comment |
1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
Hint:
Find the derivative of $1-e^{-x^2}$ and draw conclusions concerning the cumulative distribution function of (I guess) $X$.
Your question does not make that clear.
add a comment |
Hint:
Find the derivative of $1-e^{-x^2}$ and draw conclusions concerning the cumulative distribution function of (I guess) $X$.
Your question does not make that clear.
add a comment |
Hint:
Find the derivative of $1-e^{-x^2}$ and draw conclusions concerning the cumulative distribution function of (I guess) $X$.
Your question does not make that clear.
Hint:
Find the derivative of $1-e^{-x^2}$ and draw conclusions concerning the cumulative distribution function of (I guess) $X$.
Your question does not make that clear.
answered 2 days ago


drhabdrhab
98.4k544129
98.4k544129
add a comment |
add a comment |
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Please edit your question to include your attempt and also tell us where are you struck.
– Siong Thye Goh
2 days ago
What is function $f$? and what have you tried? Add your efforts to the question.
– drhab
2 days ago