Homework question about Binomials.E( x+2Y ), where X~ Binomial(n = 3, p=.7) and is independent of Y ~ Geometric (p = 0.3)2 .a . El * + 2Y' ), where X ~ Binomial ( n = 3. p = . 7 ) and is independent ofY ~ Geometric ( P = 0. 3 )b. Var (* + 2Y' ) , where * ~ Binomial ( no = 3, p = . 7 ) and is independent ofY ~ Geometric ( D = 0. 3 )C. E ( 3x + 58 - 82 ) , where X, Y, and Z are independent , E ( * ) = 4 ,E (Y ) = 3, E ( 2 ) = 10d. Var ( 3 X + 58 - 82 ), where*, Y , and Z are independent , Var ( * ) = 9.Var ( * ) = 16 , Var ( 2 ) = 2e . E (* ) , where*1 , *2 . .... In are lid with mean O and variance ? .f . P ( * &lt; 6 ) , where *1 , * 2 . .... *no ~ lid N ( 5, 2 )B . P ( * * 1 1 ) , where * 1, *2 . .... *zo ~ lid N ( 3, 150 )h . P (|X - 3| &gt; 1 ) , where * 1 , *2 . .... *Io ~ lid N ( 3 , 18 )

E( x+2Y ), where X~ Binomial(n = 3, p=.7) and is independent of Y ~ Geometric (p = 0.3)

2 .a . El * + 2Y’ ), where X ~ Binomial ( n = 3. p = . 7 ) and is independent ofY ~ Geometric ( P = 0. 3 )b. Var (* + 2Y’ ) , where * ~ Binomial ( no = 3, p = . 7 ) and is independent ofY ~ Geometric ( D = 0. 3 )C. E ( 3x + 58 – 82 ) , where X, Y, and Z are independent , E ( * ) = 4 ,E (Y ) = 3, E ( 2 ) = 10d. Var ( 3 X + 58 – 82 ), where*, Y , and Z are independent , Var ( * ) = 9.Var ( * ) = 16 , Var ( 2 ) = 2e . E (* ) , where*1 , *2 . …. In are lid with mean O and variance ? .f . P ( * &lt; 6 ) , where *1 , * 2 . …. *no ~ lid N ( 5, 2 )B . P ( * * 1 1 ) , where * 1, *2 . …. *zo ~ lid N ( 3, 150 )h . P (|X – 3| &gt; 1 ) , where * 1 , *2 . …. *Io ~ lid N ( 3 , 18 )

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