1. Suppose that the random variables X and Y are independent and you know their distributions....

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1. Suppose that the random variables X and Y are independent and you know their distributions. Explain why knowing the value of X tells you nothing about the value of Y.

2. Suppose that A denotes the amount of rainfall in your hometown during a given month and Y denotes the number of children born in Los Angeles during the same month. Are X and Y independent? Explain.

David · Accepted Answer

1) 
Independent distributions are those distributions which are mutually exclusive. In other words, two 
distributions are independent if the values of one do not affect the distribution of the other. 
It is given that the random variables x and yare independent and that their distributions are known.

1. Suppose that the random variables X and Y are independent and you know their distributions. Explain why knowing the value of X tells you nothing about the value of Y. 2. Suppose that A denotes the...

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