True or False If X and Y are two independent variables that are each uniformly d

Question

True or False
If X and Y are two independent variables that are each uniformly distributed over [0,1], then their sum X+Y will be a random variable that will be uniformly distributed over [0,2]. True or False
If X and Y are two independent variables that are each uniformly distributed over [0,1], then their sum X+Y will be a random variable that will be uniformly distributed over [0,2].
If X and Y are two independent variables that are each uniformly distributed over [0,1], then their sum X+Y will be a random variable that will be uniformly distributed over [0,2].

Explanation / Answer

False because the ramdam variable range not(0,2)

The range (0,1) only and by adding two independent variables the range not adding

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