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CSIR NET Mathematics 2024|Standard distribution | 14 February 2024
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Question 1
Let X be a random variable having probability function
Define , then the distribution of Y is
Question 2Multiple Correct Options
Let
and
are independent random variables such that
![](https://gradeup-question-images.grdp.co/liveData/PROJ123201/1707889599220644.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ123201/1707889599968273.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ123201/1707889600752517.png)
and
. Define
Then which of the following are correct?
Question 3
If X is a Poisson variate such that
then the mean of X is
![](https://gradeup-question-images.grdp.co/liveData/PROJ123201/1707889616301353.png)
Question 4
If X is standard normal random variable such that
and
then the relation between
and
is
![](https://gradeup-question-images.grdp.co/liveData/PROJ123201/170788962481570.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ123201/1707889625565855.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ123201/1707889626349856.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ123201/1707889627141123.png)
Question 5
If X is a Poisson random variable with parameter
then the mode of X is
![](https://gradeup-question-images.grdp.co/liveData/PROJ123201/1707889634900990.png)
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Feb 14CSIR NET & SET