# 9 suppose two random variables, x and y are independent, which statement is false? Full Guide

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### Y) = P(X) Cov(X,Y) = 0 None of the above are false Question 10 Using the joint probability table below; determine P(X = 1,Y = 7). 0.05 0.15 0.05 0.1 0.15 0.15 a) 00.4 b) 00.1 c) 00.55 0.45 0.15 Vone o ^{[1]}

### Y) = P(X) d) P(XâˆªY) = P(X) + P(Y) e) None of the above are false. Question 10 Using the joint probability table below, determine P(X = 1, Y = 7). 0.05 0.05 0.3 0.15 0.05 0.15 0.15 0.1 a) 0.4 b) 0.1 ^{[2]}

### Which statement is true or are they all false? ^{[3]}

### If a random variable V is independent of two independent random variables X and Y, how to prove that V is independent of X + Y? ^{[4]}

### Independent Random Variables ^{[5]}

### [Solved] X and Y are two random independent events. It is known that ^{[6]}

### Independent random variables ^{[7]}

### 5.1: Joint Distributions of Discrete Random Variables ^{[8]}

### Independence, Covariance and Correlation between two Random Variables ^{[9]}

### Sources

- https://www.numerade.com/ask/question/question-suppose-two-random-variables-x-and-y-are-independent-which-statement-is-false-a-0-pxuy-px-py-b-opxny-px-py-c-0px-y-px-covxy-0-none-of-the-above-are-false-question-10-using-the-joint-81946/
- https://www.numerade.com/ask/question/question-9-suppose-two-random-variables-x-and-y-are-independent-which-statement-is-false-a-0-pxny-px-py-b-0-covxy-0-0px-y-px-d-0pxuy-px-py-onone-of-the-above-are-false-question-10-using-the-31193/
- https://math.stackexchange.com/questions/2988657/which-statement-is-true-or-are-they-all-false
- https://stats.stackexchange.com/questions/105102/if-a-random-variable-v-is-independent-of-two-independent-random-variables-x-and
- https://www.probabilitycourse.com/chapter3/3_1_4_independent_random_var.php
- https://testbook.com/question-answer/x-and-y-are-two-random-independent-events-it-is-k–587c7f74995a2d1e1c55732f
- https://www.statlect.com/fundamentals-of-probability/independent-random-variables
- https://stats.libretexts.org/Courses/Saint_Mary’s_College_Notre_Dame/MATH_345__-_Probability_(Kuter)/5%3A_Probability_Distributions_for_Combinations_of_Random_Variables/5.1%3A_Joint_Distributions_of_Discrete_Random_Variables
- https://towardsdatascience.com/independence-covariance-and-correlation-between-two-random-variables-197022116f93