Let x, where i = 1,2,3,,100 be indepenedent random variables

[TomJerry]

Question :
Let x_i, where i = 1,2,3,..,100 be indepenedent random variables, each with a uniformly distributed over (0,1) . Using the central Limit theorem , obtain the probability
P( <summation> x_i > 50)

 

[HallsofIvy]

Well, what have you tried? What are the mean and standard deviation of the uniform distribution over (0, 1)? What does the central limit theorem say about the distribution of the sum of samples?

 

[TomJerry]

Well, what have you tried? What are the mean and standard deviation of the uniform distribution over (0, 1)? What does the central limit theorem say about the distribution of the sum of samples?

Dont know how to start ...