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CSIR NET Mathematics 2024|Random Variable | 10 April 2024
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Question 1
Which of the following is/are cumulative distribution function(s) c.d.f pf random variable(s)?
Question 2
If the distribution function of a random variable X is given by F(x) = sinx, where θ 
, then the probability density function at 
has the value
Question 3
A random variable X has the density function
Determine the distribution function
Question 4
The joint probability distribution of two random variables x and y is given by
P(x = 0, y = 1) = 
P(x = 1, y = –1) = 
P(x = 1, y = 1) = 
Find the conditional distribution of x = 0 given y = 1?
Question 5
Suppose that the time in minutes that a person has to wait at a certain station for a train is found to be a random phenomenon with a probability function specified by the distribution function.
F(x) = 
What is the conditional probability that the person will have to unit for a train for more than 3 minutes, given that it is more than 1 minute?
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Apr 10CSIR NET & SET
