CSIR NET Mathematics 2024|Standard distribution | 01 May 2024

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Question 1

Let  are independent  random variables. If

Then the value of  is

• A 1
• B 2
• C 3
• D4

Question 2

The joint probability function of X and Y is given by

Find the third central moment of X.

• A 1
• B 2
• C 3
• D6

Question 3

Let  and  are independent random variables. If  then find

• A2
• B3
• C12
• D24

Question 4

Let  have a binomial distribution with parameter  and , where  has a binomial distribution with parameter  and . Then the  is equal to

• A5
• B
• C
• D25

Question 5

For each given p, let X have a binomial distribution with parameters p and N. Suppose that p is uniformly distributed on the interval [0, 1]. What is the resulting distribution of X?

• A Discrete uniform distribution
• B Binomial distribution
• C Poisson distribution
• DGeometric distribution

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