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ANTONII [103]
3 years ago
14

Help please, geometry question.

Mathematics
1 answer:
Inessa05 [86]3 years ago
5 0
I can help, whats the question
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Let X1, . . . ,Xn be an i.i.d. random sample from a N(0, 1) population. Define Y1 = 1 n n X i=1 Xi , Y2 = 1 n n X i=1 |Xi| . Cal
nalin [4]

For each 1\le i\le n, E[X_i]=0, so that

\displaystyle E[Y_1]=E\left[\frac1n\sum_{i=1}^nX_i\right]=\frac1n\sum_{i=1}^nE[X_i]=0

Meanwhile,

\displaystyle E[Y_2]=\frac1n\sum_{i=1}^nE[|X_i|]

Each of the X_i have PDF

f_{X_i}(x)=\dfrac1{\sqrt{2\pi}}e^{-x^2/2}

for x\in\Bbb R. From this we get

E[|X_i|]=\displaystyle\frac1{\sqrt{2\pi}}\int_{-\infty}^\infty|x|e^{-x^2/2}\,\mathrm dx=\sqrt{\frac2\pi}\int_0^\infty xe^{-x^2/2}\,\mathrm dx=\sqrt{\frac2\pi}

\implies E[Y_2]=n\sqrt{\dfrac2\pi}

8 0
2 years ago
Is 90 1/10th of 900?
mestny [16]
Yes, 90 is 1/10 of 900

Because

90 = 1/10 x 900
90 = 90
5 0
3 years ago
Solve for x: 3|x-3| 2=14<br> a. No solution<br> b. x=-1,x=8.3<br> c. x=0,x=7<br> d. x=-1,x=7
VMariaS [17]
I am looking  on the answers, and there is only one case, when a or b or c or d pass:   3|x-3| + 2 = 14.  So I assume, that before two is plus. Then:

3|x-3|+2=14    |minus 2
3|x-3|=12        |divide 3
|x-3|=4 

From absolute value definition you've got two ways:

x-3=4     or     x-3=-4
x=7        or     x=-1

And  answer d) passes

3 0
3 years ago
IIIIII NEEEEEED HEEEELPPPPPP ANYYYY ANSWERRRSS APPRECIATEDDDDD
Marta_Voda [28]

Answer:

B. Infinitely many solutions

6 0
3 years ago
Different shapes are drawn on cards and then the cards are placed in a bag. The number of cards for each shape is shown in the t
Goshia [24]
70% or 91/130.

There are 91 circle cards and 130 total.
6 0
3 years ago
Read 2 more answers
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