Suppose that X1, X2, ..., X10 are uniformly distributed over (0, 3) and independent. Let X = 10 ΣXk k=1 . Approximate P(X>18) using the Central Limit Theorem. Leave your answer in terms of $(z), the cumulative distribution function for the standard normal random variable.

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Suppose that X1, X2, ..., X10 are uniformly distributed over (0, 3) and independent. Let X =
10
ΣXk
k=1
. Approximate P(X>18) using the Central Limit Theorem. Leave your answer in terms of $(z), the
cumulative distribution function for the standard normal random variable.
Transcribed Image Text:Suppose that X1, X2, ..., X10 are uniformly distributed over (0, 3) and independent. Let X = 10 ΣXk k=1 . Approximate P(X>18) using the Central Limit Theorem. Leave your answer in terms of $(z), the cumulative distribution function for the standard normal random variable.
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