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Questions › JNU › JNU SSS 2017 › Q5
1 mark, −0.25Statistics › Joint distributions, covariance and correlation › Joint, marginal and conditional distributionsEasyabout 1 min

JNU SSS 2017 Question 5: Joint distributions, covariance and correlation

Direction : Answer Question Nos. 5-7 on the basis of the following :

Random variable XXX can take two values : 1 and 2. Random variable YYY can take three values : 1, 2 and 3. The joint probability distribution of XXX, YYY is given by f(x,y)=k×x×yf(x, y) = k \times x \times yf(x,y)=k×x×y, where x=1,2x = 1, 2x=1,2 and y=1,2,3y = 1, 2, 3y=1,2,3.

What is the value of kkk?

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Direction: Answer Question Nos. 5-7 on the basis of the following: Random variable X can take two values: 1 and 2. Random variable Y can take three values: 1, 2 and 3. The joint probability distribution of X, Y is given by f(x, y) = k × x × y, where x = 1, 2 and y = 1, 2, 3. What is the value of k? (A) 1/6 (B) 1/9 (C) 1/18 (D) 1/21

Also written as: Direction: Answer Question Nos. 5-7 on the basis of the following: Random variable X can take two values: 1 and 2. Random variable Y can take three values: 1, 2 and 3. The joint probability distribution of X, Y is given by f(x, y) = k * x * y, where x = 1, 2 and y = 1, 2, 3. What is the value of k?

Joint distributions, covariance and correlation has come up 61 times in 7 exams since 2005.

What this question tests

This question is on Joint, marginal and conditional distributions, part of Joint distributions, covariance and correlation in Statistics.

How two random variables behave together and separately.

TestStop has 14 past-paper questions on this subtopic.

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Question from the JNU SSS 2017 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.