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3 years ago

My bro’s got me I’m giving brainliest

Mathematics

2 answers:

Vlad1618 [11]3 years ago

8 0

Answer:

i dont see the picture

Step-by-step explanation:

MAVERICK [17]3 years ago

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Answer:

yo number 1

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chegg Y=4X−2 XX has a PDF of f_X(x)=\begin{cases} 3e^{-3x} & 0 \leq x \\ 0 & \text{otherwise}\end{cases}f X (x)={ 3e −

Licemer1 [7]

$\Bbb E[Y^2] = \Bbb E[(4X - 2)^2]$

so by definition of expectation,

$\Bbb E[Y^2] = \displaystyle \int_{-\infty}^\infty (4x-2)^2 f_X(x) \, dx = \int_0^\infty 3(4x-2)^2 e^{-3x} \, dx$

Integrate by parts (twice).

$\displaystyle \int_a^b u\,dv = uv\bigg|_a^b - \int_a^b v\,du$

First, let

$u = (4x-2)^2 \implies du = 8(4x-2)\,dx \\\\ dv = 3e^{-3x} \, dx \implies v = -e^{-3x}$

so that

$\displaystyle \Bbb E[Y^2] = -(4x-2)^2 e^{-3x} \bigg|_{x=0}^{x\to\infty} + 8 \int_0^\infty (4x-2) e^{-3x} \, dx \\\\ ~~~~ = 4 + 8 \int_0^\infty (4x-2) e^{-3x} \, dx$

Next,

$u = 4x-2 \implies du = 4\,dx \\\\ dv = e^{-3x} \, dx \implies v = -\dfrac13 e^{-3x}$

so that

$\displaystyle \Bbb E[Y^2] = 4 + 8 \left(-\frac13 (4x-2) e^{-3x} \bigg|_{x=0}^{x\to\infty} + \frac43 \int_0^\infty e^{-3x} \, dx\right) \\\\ ~~~~ = 4 + 8 \left(-\frac23 - \frac49 e^{-3x}\bigg|_{x=0}^{x\to\infty}\right) \\\\ ~~~~ = 4 - \frac{16}3 + \frac{32}9 = \boxed{\frac{20}9}$

7 0

1 year ago

Pls help!! i need this done by today :((

Inga [223]

Answer:

Step-by-step explanation: hope this is correct

7 0

3 years ago

Read 2 more answers

Jing spent 1/3 of her money on a pack of pens, 1/2 of her money on a pack of markers, and 1/8 of her money on a pack of pencils.

Reika [66]

As per the problem

Jing spent $\frac{1}{3}$ of her money on a pack of pens.

$\frac{1}{2}$ of her money on a pack of markers.

and $\frac{1}{8}$ of her money on a pack of pencils.

Total fraction of money spent cab be given as below

Fraction of Money Spent = $\frac{1}{3} +\frac{1}{2}+\frac{1}{8}$

Take the LCD of denominator, we get LCD of (3,2,8)=24

Fraction of Money Spent = $\frac{8+12+3}{24} =\frac{23}{24} \\\\$

$\\ \text{Hence fraction of Money Spent }=\frac{23}{24} \\ \\ \text{Fraction of Money left}=1-\frac{23}{24} \\ \\ \text{Simplify, we get}\\ \\ \text{Fraction of Money left}=\frac{24-23}{24} \\ \\ \text{Fraction of Money left}=\frac{1}{24}$