Yes that is the correct answer. I was asking about calculating the variance not the probability.

Var(X) = E(x^2) - E(x)^2

and f(x) = 1 as this is uniform distribution from -1/2 to 1/2.

so:

Using Central Limit Theorem:

is the square root of the variance calculated above.is the standard distribution.

Therefore P(-2 <= x <= 2) = 0.512

]]>I am getting:

]]>to nearest cent. If it is assumed that the round-off error is uniformly distributed between

(-1/2, 1/2) and

the round-off errors are independent, find the probability that the sum

of the error does not exceed 2 cents in magnitude.

I dont understand how to calculate the variance for just one account. the answer for variance for just one account is 1/12.

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