S3 - Cumulative Distribution Function - Related Variables
The Length, X, of a square has a uniform distribution over the interval from 1 to 6. Find the probabillity density function of Y, the area of the square.
I have made a simple error somewhere but really cannot spot it. My p.d.f should be 1/10(y^(-1/2)) but I am getting 1/5(y^(-1/2)) in the interval between 1 and 36 ...
I have made a simple error somewhere but really cannot spot it. My p.d.f should be 1/10(y^(-1/2)) but I am getting 1/5(y^(-1/2)) in the interval between 1 and 36 ...
Oh..is it because X is 1 to 1 over the required interval??
Original post by Mathematicus65
The Length, X, of a square has a uniform distribution over the interval from 1 to 6. Find the probabillity density function of Y, the area of the square.
I have made a simple error somewhere but really cannot spot it. My p.d.f should be 1/10(y^(-1/2)) but I am getting 1/5(y^(-1/2)) in the interval between 1 and 36 ...
I have made a simple error somewhere but really cannot spot it. My p.d.f should be 1/10(y^(-1/2)) but I am getting 1/5(y^(-1/2)) in the interval between 1 and 36 ...
I haven't read all the way through, but notice that you know that the random variable X is positive valued. Therefore when you come to calculate , you only need to consider the positive square root.
Quick Reply
Related discussions
- Discrete probability disturbution
- Binomial distribution
- Maths - Statistics, cumulative probabilities
- Binomial hypothesis test question
- KS plot
- Negative Binomial Question
- A Level Stats poisson distribution question
- Urgent-stats al maths q!
- Negative Binomial Question
- June 2018 Stats
- Central Limit Theorem: How do you calculate the test statistic?
- maths statistics discrete random variables - AS LEVEL
- Lse Economics and Economic history…help please
- OCR A Level Further Mathematics MEI Statistics Minor Y432/01-16 Jun 2023 [Exam Chat]
- cumalative negative binomial
- stuck on maths distribution question
- Help stats maths
- normal distribution fm question
- Maths probability help please
- Politics and Economics at LSE vs pure Economics at Edinburgh
Latest
Trending
Last reply 1 day ago
Did Cambridge maths students find maths and further maths a level very easy?Last reply 2 weeks ago
Edexcel A Level Mathematics Paper 2 unofficial mark scheme correct me if wrongMaths
71
Trending
Last reply 1 day ago
Did Cambridge maths students find maths and further maths a level very easy?Last reply 2 weeks ago
Edexcel A Level Mathematics Paper 2 unofficial mark scheme correct me if wrongMaths
71
