Suppose X-Geometric(p=3/4) and Y- Poisson(3) .  Find P(X<=2). Find P(Y<4 | Y>=3) .  Assume the variables are independent. Find i. E(X+3Y-2) and ii. Var(X+3Y-2) .

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.3: Systems Of Inequalities
Problem 19E
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Suppose X-Geometric(p=3/4) and Y- Poisson(3) . 

  1. Find P(X<=2).
  2. Find P(Y<4 | Y>=3) . 
  3. Assume the variables are independent. Find i. E(X+3Y-2) and ii. Var(X+3Y-2) .
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