Let A, B, C, D and E be discrete random variable such that A is Binomial random variable with parameters (n, 2p/3) B is a Poisson random variable with λ= 2 C is a Geometric random variable with parameter p/2 D is a Negative binomial random variable with parameters (r,2p/5) E is a Hypergeometric random variable with parameters (2N.m, 2 n) Solve the following: Note your answer must be in 1 fraction. a. E[2A + 3B + C - E + 2D] b. Var(A + B) - Var(A -B) c. 2P(A ≤ 1) - 3P(1 < B ≤ 3) d. SD(2A) + SD(2B) + SD(2E) e. E[A^2 + B^2 + E^2 + D^2 + C]

Let A, B, C, D and E be discrete random variable such that A is Binomial random variable with parameters (n, 2p/3) B is a Poisson random variable with λ= 2 C is a Geometric random variable with parameter p/2 D is a Negative binomial random variable with parameters (r,2p/5) E is a Hypergeometric random variable with parameters (2N.m, 2 n) Solve the following: Note your answer must be in 1 fraction. a. E[2A + 3B + C - E + 2D] b. Var(A + B) - Var(A -B) c. 2P(A ≤ 1) - 3P(1 < B ≤ 3) d. SD(2A) + SD(2B) + SD(2E) e. E[A^2 + B^2 + E^2 + D^2 + C]

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 32E

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