4. Suppose X follows an exponential distribution with mean 1000 and Y follows a Pareto distribution with mean 1000 and α = 4. Calculate the probability that both X and Y exceed 5000 for the following three copulas: a. Independence copula b. Comonotonic copula c. Gumbel copula with α = 3

4. Suppose X follows an exponential distribution with mean 1000 and Y follows a Pareto distribution with mean 1000 and α = 4. Calculate the probability that both X and Y exceed 5000 for the following three copulas: a. Independence copula b. Comonotonic copula c. Gumbel copula with α = 3

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 19E

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Please assist with the following questions

4. Suppose X follows an exponential distribution with mean 1000 and Y
follows a Pareto distribution with mean 1000 and α = 4. Calculate the
probability that both X and Y exceed 5000 for the following three copulas:
a. Independence copula
b. Comonotonic copula
c. Gumbel copula with α = 3

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