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GalinKa [24]
3 years ago
15

Can someone help please i will crown

Mathematics
1 answer:
stira [4]3 years ago
6 0
(x-3)^2 + (y-2)^2 = 16
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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
Please help me i really need help please help me please i really really need help please
sattari [20]

Answer:

117

Step-by-step explanation:

Okay, the problem is asking that we find the hypotenuse of this triangle (AKA, the lake.)

a²+b²=c²

A= 75

B= 90

C is always the hypotenuse.

75²+90²= c²

5,625+8,100= 13,725

√13,725= 117.15374513859981591194584103639

To the nearest whole number: 117

To the nearest tenth: 117.2

Hope this helps!

8 0
3 years ago
An exterior angle of a triangle is 180 degrees. always, sometimes or never
LenaWriter [7]

its never bc a triangle cant be 180 degrees 

4 0
4 years ago
Read 2 more answers
Picture is in frame please answer
almond37 [142]

Answer:

B. Honest

Step-by-step explanation:

lts because si marcos nikatkat sa punuan sa monggos

3 0
3 years ago
How many 36-passenger buses will it take to carry 144 people?
nignag [31]
To solve this divide.
144/36
and that =4
So it takes 4 buses.
6 0
4 years ago
Read 2 more answers
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