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2.1 Determine y(t) by deriving the Inverse Laplace transform: y(t)=L 98² (s+1)(s²+2s+10) (8) 2.2 Determine L (In t). (7) 2.3 Illustrate the convolution of independent binomial distributions of X and Y to determine the distribution of Z = X+Y. X is distributed b(n, p) and Y is distributed, independently of X, b(m, p). (4) 2.4 Using convolutions determine the distribution of X + Y if X is distributed negative binomial (r,p) and Y is distributed negative binomial (s,p), 0

2.1 Determine y(t) by deriving the Inverse Laplace transform: y(t)=L 98² (s+1)(s²+2s+10) (8) 2.2 Determine L (In t). (7) 2.3 Illustrate the convolution of independent binomial distributions of X and Y to determine the distribution of Z = X+Y. X is distributed b(n, p) and Y is distributed, independently of X, b(m, p). (4) 2.4 Using convolutions determine the distribution of X + Y if X is distributed negative binomial (r,p) and Y is distributed negative binomial (s,p), 0

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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2.1 Determine y(t) by deriving the Inverse Laplace transform: y(t)=L 98² (s+1)(s²+2s+10) (8) 2.2 Determine L (In t). (7) 2.3 Illustrate the convolution of independent binomial distributions of X and Y to determine the distribution of Z = X+Y. X is distributed b(n, p) and Y is distributed, independently of X, b(m, p). (4) 2.4 Using convolutions determine the distribution of X + Y if X is distributed negative binomial (r,p) and Y is distributed negative binomial (s,p), 0<p< 1. (6)
Transcribed Image Text:2.1 Determine y(t) by deriving the Inverse Laplace transform: y(t)=L 98² (s+1)(s²+2s+10) (8) 2.2 Determine L (In t). (7) 2.3 Illustrate the convolution of independent binomial distributions of X and Y to determine the distribution of Z = X+Y. X is distributed b(n, p) and Y is distributed, independently of X, b(m, p). (4) 2.4 Using convolutions determine the distribution of X + Y if X is distributed negative binomial (r,p) and Y is distributed negative binomial (s,p), 0<p< 1. (6)
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