Let X₁~N(-1,5), X₂~N(3,2), X3~N(0,1). They are independent rv's. Find theprobability distribution for Z = X₁ - 2X₂ + 3X3.

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Answered: Let X₁~N(-1,5), X₂~N(3,2), X3~N(0,1).…

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter12: Probability

Section12.4: Discrete Random Variables; Applications To Decision Making

Problem 14E

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Let X₁~N(-1,5), X₂~N(3,2), X3~N(0,1). They are independent rv's. Find the probability distribution for Z = X₁ - 2X₂ + 3X3.