Homework SourseTrue or False If X and Y are two independent variables that
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].
Solution
False because the ramdam variable range not(0,2)
The range (0,1) only and by adding two independent variables the range not adding
![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 b](/WebImages/6/true-or-false-if-x-and-y-are-two-independent-variables-that-986347-1761506760-0.webp "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 b")
