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sergij07 [2.7K]
3 years ago
15

You have a ruler of length 1 and you choose a place to break it using a uniform probability distribution. Let random variable X

represent the length of the left piece of the ruler. X is distributed uniformly in [0, 1]. You take the left piece of the ruler and once again choose a place to break it using a uniform probability distribution. Let random variable Y be the length of the left piece from the second break. (a) Find the conditional expectation of Y given X, E(Y\X). (b) Find the unconditional expectation of Y. One way to do this is to apply the law of iterated expectation which states that E(Y) = E(E(Y\X)). The inner expectation is the conditional expectation computed above, which is a function of X. The outer expectation finds the expected value of this function. (c) Compute E(XY). This means that E(XY\X) = XE(Y\X) (d) Using the previous results, compute cov(X, Y).
Mathematics
1 answer:
salantis [7]3 years ago
6 0

Answer:

Step-by-step explanation:

idek

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Help asappppp tyyy ​
True [87]

Given:

Compound shape

To find:

The area of the compound shape.

Solution:

The compound shape is splitted into two parallelograms.

<u>Bottom parallelogram:</u>

Base = 7.5 cm

Height = 5 cm

Area of the parallelogram = base × height

                                           = 7.5 × 5

                                           = 37.5 cm²

The area of the Bottom parallelogram 37.5 cm².

<u>Top parallelogram:</u>

Base = 7.5 cm

Height = 4.5 cm

Area of the parallelogram = base × height

                                           = 7.5 × 4.5

                                           = 33.75 cm²

The area of the top parallelogram 33.75 cm².

Compound shape = 37.5 + 33.75

                               = 71.25 cm²

The area of the compound shape is 71.25 cm².

7 0
3 years ago
This might be hard for yall(it ok my fwiends ) ;). But there is a alot . Look at pic pwease sorry its all over the place.only 3q
horsena [70]

an really easy website for this is MathPapa algebra calculator

4 0
3 years ago
The larger of two numbers is 7 times the smaller number. Three times the larger number is 7 more than 4 times the smaller number
Juliette [100K]

Let the smaller number be x.

Given, the larger number is 7 times the smaller number.

So, the larger number = 7x.

Given, 3 times the larger number is 7 more than 4 times the smaller number.

So we can write the equation as,

3(7x) = 4(x)+7

3(7x) = 4x+7

21x = 4x+7

Now we have to move 4x to the left side by subtracting 4x from both sides.

21x-4x = 4x-4x+7

21x-4x = 7

17x = 7

To get x, we will divide both sides by 17. We will get,

\frac{17x}{17} = \frac{7}{17}

x = \frac{7}{17}

So the smaller number = \frac{7}{17}

The larger number = 7(\frac{7}{17} ) = \frac{49}{17}

So we have got the required numbers.

Smaller number = \frac{7}{17} and larger number = \frac{49}{17}.

4 0
3 years ago
NEED HELP ASAP!!! Will give brainliest!!!
Gekata [30.6K]

Answer:

1, 4/5,2/5

Step-by-step explanation:

y = 5x

Let y = 5

5 = 5x

Divide by 5

5/5 =5x/5

1=x

Let y=4

4 =5x

Divide by 5

4/5 =5x/5

4/5 =x

Let y=2

2 =5x

Divide by 5

2/5 =5x/5

2/5 =x

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3 years ago
294 to the nearest 1000
Viefleur [7K]
294.000 is your answer
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3 years ago
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