QUESTION 6Two discrete independent random variables X and Y can take values 0 and 1 only. Fill in the joint probability distribution table below, knowing the distributions of X and Y given as marginaldistribution over the last row (for X) and last column (for Y).X=0X=1P(Y=y)Y=0 0.10.3Y=1 0.20.4P(X=x)(a) Calculate the marginal distributions of X and Y. (fill in your answer as a number 0.x)(b) What is the probability P(X+Y = 1) =? (fill in your answer as a number 0.x)(c) Are the variables X and Y independent? Input your answer as Y or N here:

X=0 X=1 P(Y=y) Y=0 0.1 0.3 0.4 Y=1 0.2 0.4 0.6 P(X=x) 0.3 0.7 1

Answered: QUESTION 6 Two discrete independent…

A First Course in Probability (10th Edition)

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Chapter1: Combinatorial Analysis

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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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