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3 years ago

Sketch a graph to represent the situation. Label each section.

Mathematics

1 answer:

Mariana [72]3 years ago

3 0

Answer:

for every 2 shirts, the 3rd is free

Step-by-step explanation:

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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

I added the screenshot of the question if you could let me know the answer and how u got it please and thank you.

jeka57 [31]

The percent it needs to.grow each year is.4 percent because the investment wants.to.increase by factor.of.5. in 20 years. 20 divided by 5 would 4 percent each year.

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3 years ago

Tara roller the number shown. what is the greatest number she can make using each digit once 4682831

natita [175]

You just put the largest numbers first and that is the largest number she can make.

So your answer would be 886,431

Hope I Helped!!! :-)

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3 years ago

Can someone reply with how this works

soldier1979 [14.2K]

Uhm I think you forgot something

7 0

3 years ago

Read 2 more answers

How many perfect squares are there between 2 and 140

zlopas [31]

Answer:

Step-by-step explanation:

4, 9, 16, 25, 36, 49, 64, 81, 100, 121

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3 years ago