Unformatted text preview: pulses/hr. (b) To make computations simpler, you may use the approximation λ = 2 . What is the probability that two or more pulses arrive between 6 pm and 7pm on a given day? Problem 4(a)Show that the function F : R → R deﬁned by F ( x ) = exp(exp(x )) for any x ∈ R is a c . d . f . . (b) Assume X is a random variable whose c . d . f . is F ( . ) . Compute P( X > 3  X 2 ≤ 25) . Problem 5Let X be a poisson random variable with parameter λ , i.e., f X ( x ) = exp(λ ) λx x ! for x ∈ N ∪ { } . Write a computer code to calculate lim λ →∞ P(X ≤ λ ) . What is your answer?...
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 Fall '08
 Burbidge,John
 Probability theory, Poisson, independent random variables, uniform random variables, Kamyar Moshksar

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