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4 years ago

6

Consider the triangle with vertices (0, 0), (1, 0), (0, 1). Suppose that (X, Y ) is a uniformly chosen random point from this tr

iangle. (a) Find the marginal density functions of X and Y . (b) Calculate the expectations E[X] and E[Y ]. (c) Calculate the expectation E[XY ].

1 answer:

ivann1987 [24]4 years ago

5 0

Answer:

The solution is given in attached diagram:

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Write the slope-intercept form of the equation of each line.

rewona [7]

Answer:

$y=-\frac{8}{3} x - 3$

Step-by-step explanation:

Slope-intercept form is y = mx + b.

You are given 8x + 3y = -9, so to convert this into slope-intercept form you would solve for y and rearrange the terms (if needed) to follow the format of mx + b.

Start by subtracting 8x from both sides of the equation.

3y = -9 - 8x

Divide both sides by 3 to isolate y.

y = -3 - 8/3x

Rearrange the terms so the "x" variable is first.

y = -8/3x - 3

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3 years ago

Please help me on 8 and 10 and give the common difference or ratio

Oduvanchick [21]

D=-1/2 for 8

D=-2 for 10

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4 years ago

Which statements about right triangles and hexagons are true?

Goryan [66]

Hello :) = Merhaba :)

Answer:

<h3><u><em>A and C</em></u></h3>

Step-by-step explanation:

Let's look at the chances:

A) Both shapes are polygons.

This answer is true. Because the triangle and the hexagon are polygons.

B) The first shape has the same number of sides as the second shape.

This answer is false. Because three sides of the triangle have six edges of the hexagon.

C) Both shapes have all sides of equal length.

This answer is true. Because the smooth polygons have equal edges.

NOTE: I'm not American. I'm just a Turk who wants to help you. So if my sentences are wrong, please forgive me.

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Başarılar :) = Achievements :)

8 0

3 years ago

A certain type of flashlight requires two type-D batteries, and the flashlight will work only if both its batteries have accepta

xz_007 [3.2K]

Answer:

0.549 or 54.9%

Step-by-step explanation:

This is a binomial distribution (Bernoulli's experiment), where the probability of “success” (selecting a battery with acceptable voltage) is 0.9 and the probability of “failure” is 0.1

So, the probability of selecting at least 14 acceptable batteries out of 15 is

$\large C(15,14)(0.9)^{14}(0.1) + C(15,15)(0.9)^{15}$

where <em>C(n, m) are combinations of n elements taken m at a time</em>.

C(15,14) = 15

C(15,15) = 1

so, the probability we are looking for is

$\large 15*(0.9)^{14}0.1+(0.9)^{15}=0.3431+0.2058 = 0.549 = 54.9\%$

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4 years ago

90+15x+8x-2=180<br> solve for x

Sergio [31]

Answer:

4

Step-by-step explanation:

88+23x=180

23x=180-88

23x=92

x=92/23

x=4

Hope this helped!

4 0

3 years ago