Practice For Discrete Random Variables - 17.4.1 | 17. Independence of Random Variables | Mathematics - iii (Differential Calculus) - Vol 3
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For Discrete Random Variables

17.4.1 - For Discrete Random Variables

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Is the statement 'Independent variables affect each other's probability' true or false?

💡 Hint: Think about how independence relates to probability.

Question 2 Easy

Define a discrete random variable in one sentence.

💡 Hint: Consider what kind of values can be counted.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the condition for independence between discrete random variables?

A: P(X
Y) = P(X) × P(Y)
B: P(X) = P(Y)
C: P(X|Y) = P(X)

💡 Hint: Recall the equation for independence.

Question 2

True or False: If P(X=1, Y=2)=0.4 and P(X=1)=0.5, P(Y=2)=0.3, X and Y are independent.

True
False

💡 Hint: Use the independence equation for checking.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

Given a joint probability table for random variables X and Y, assess their independence: X/Y 1 2; 1 0.2 0.5; 2 0.3 0.1.

💡 Hint: Carefully label all calculations for clarity.

Challenge 2 Hard

Develop a scenario involving two random variables where independence simplifies decision-making. Explain the impact.

💡 Hint: Think about practical applications in engineering or statistics.

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