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Firdavs [7]
3 years ago
14

CAN YOU HELP ME FAST PLEASE

Mathematics
1 answer:
kari74 [83]3 years ago
8 0

Q 1 ans supplementary

Q2 ans congurent

Q3 ans neithee

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Let X have the uniform distribution U(0, 2) and let the conditional distribution of Y , given that X = x, be U(0, x). Find the j
Elina [12.6K]

Answer:

f(x,y) = \frac{1}{x} \frac{1}{2}= \frac{1}{2x} , 0\leq x \leq 2 , 0\leq y \leq x

E(Y|x) = \int_{x=y}^2 y \frac{1}{x} dx= y ln x \Big|_{x=y}^2 =y ln 2 -y ln y = y(1-lny) \

Step-by-step explanation:

We have two random variables X and Y. X \sim Unif(0,2) and given that X=x, Y has uniform distribution (0,x)

From the definition of the uniform distribution we have the densities for each random variable given by:

f_X (x) =\frac{1}{2} , 0\leq x\leq 2

f_{Y|X} (y|x) = \frac{1}{x}, 0\leq y \leq x

And on this case we can find the joint density with the following formula:

f(x,y) = f_{Y|X}(y|x) f_X (x)

And multiplying the densities we got this:

f(x,y) = \frac{1}{x} \frac{1}{2}= \frac{1}{2x} , 0\leq x \leq 2 , 0\leq y \leq x

Now with the joint density we can find the expected value E(Y|x) with the following formula:

E(Y|x) = \int y f_{Y|X}(y|x)dx

And replacing we got:

E(Y|x) = \int_{x=y}^2 y \frac{1}{x} dx= y ln x \Big|_{x=y}^2 =y ln 2 -y ln y = y(1-lny) \

5 0
4 years ago
What is the slope of this graph? Please help I don't understand how to do this
amid [387]

Answer:

1/4

Step-by-step explanation:

8 0
3 years ago
State the commutative property of multiplication, and provide an example using two different numbers.
attashe74 [19]

Answer:

The commutative property of multiplication states that the numbers of the operation can change their order, and this action will not alter the outcome.

Example 1:

8*4=32

Changing the order of the numbers in the operation:

4*8=32\\\\Then,\\8*4=4*8

Example 2:

10*12=120

Changing the order of the numbers in the operation:

12*10=120\\\\Then,\\10*12=12*10

4 0
3 years ago
∠ACB is inscribed in semicircle ACB of a circle with centre O then m∠ACB =
Zolol [24]
<h2>Answer:</h2>

[C] 90°.

<u>It is Because ∠ACB is formed by the diameter of the semicircle</u>.

<u>And we already know that, the angle formed by diameter measure 90° to the circle or semicircle</u>.

6 0
3 years ago
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Use long division to divide and use the result to factor the dividend completely.
dolphi86 [110]
The answer is:
Factor the expression

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