Question: A random variable is defined as the sum of ten independent random variables, which are all uniformly distributed in [-0.5, 0.5]. (a) According to the

A random variable is defined as the sum of ten independent random variables, which are all uniformly distributed in [-0.5, 0.5].

(a) According to the central-limit theorem, write down an approximate expression for the pdf of the sum, Z = Σ10i=1 Xi

(b) What is the value of the approximating pdf for z = ±5.1? What is the value of the pdf for the actual sum random variable for this value of z?

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