Suppose X₁, X2, and X3 are independent Bernoulli random variables with success prob- abilities p₁, p2 and p3 (respectively). Calculate: 1. E[2X1+X2+X3]. 2. E[(X1 + X2 + X3)²].
Suppose X₁, X2, and X3 are independent Bernoulli random variables with success prob- abilities p₁, p2 and p3 (respectively). Calculate: 1. E[2X1+X2+X3]. 2. E[(X1 + X2 + X3)²].
A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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![Suppose X₁, X2, and X3 are independent Bernoulli random variables with success prob-
abilities p₁, p2 and p3 (respectively). Calculate:
P2
1. E[2X₁+X2+X3].
2. E[(X₁ + X2 + X3)²].](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb41de797-8c36-43f3-a49e-0d77bbbd163e%2Fa90d7b72-cf97-4b3f-9988-584a92dd6074%2Fonljw8a_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Suppose X₁, X2, and X3 are independent Bernoulli random variables with success prob-
abilities p₁, p2 and p3 (respectively). Calculate:
P2
1. E[2X₁+X2+X3].
2. E[(X₁ + X2 + X3)²].
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