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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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The sum of 5 times one number, x, and 4 times a second number, y, is 75. If the sum of the two numbers is 18, find the two numbe
satela [25.4K]

Answer:x=3 and y=15

Step-by-step explanation:

First, we are told "sum of 5 times one number, x, and 4 times a second number, y, is 75":

5x+4y=75 (1)

Then, we are told "he sum of the two numbers is 18":

x+y=18 (2)

At this point we have our system of equations and now we are able to find the values of x and y.

So, let's begin by isolating x from (2):

x=18-y (3)

Substituting (3) in (1):

5(18-y)+4y=75 (4)

Finding y:

90-5y+4y=75

y=15 (5) This is the value of y

Substituting (5) in (1):

5x+4(15)=75 (6)

Finding y:

5x+60=75 (7)

x=3 (8) This is the value of x

4 0
3 years ago
3(1-3x)=2(-4x+7) solve
Rudiy27

Simplify the left side.

Tap for more steps...

3−9x=2(−4x+7)

Simplify the right side.

Tap for more steps...

3−9x=−8x+14

Move all terms containing x

to the left side of the equation.

Tap for more steps...

3−x=14

Move all terms not containing x

to the right side of the equation.

Tap for more steps...

−x=11

Multiply each term in x=−11

by −1

Tap for more steps...

x=−11

Hope this helps!

8 0
3 years ago
Read 2 more answers
You are bidding on three items available on an online shopping site. You think that for each bid you have a 30% chance of winnin
OLEGan [10]

Answer:

a. 0.027 or 2.7%

b. 0.973 or 97.3%

Step-by-step explanation:

Please kindly check the attached file for explanation

7 0
3 years ago
Which one weighs more 500 pounds or 200 kilograms
Katyanochek1 [597]
1 Pound is 0.453592 Kilograms
500 Pounds is 226.796 Kilograms
Hope i helped!
Please Leave a thanks! Thanks!
5 0
3 years ago
Read 2 more answers
A teepee is designed to have a diameter of 10 ft and a volume of 366ft³ what is the height? A.15ft , b.14 ft, c 5ft, or 1 ft
Katarina [22]

Answer:

B.  14 ft approx

Step-by-step explanation:

Given data

A teepee  has a conical shape

Diameter= 10ft

radius= 5 ft

Volume = 366ft³

Height = ????

The expression for the volume is

V= 1/3πr^2 h

substitute

366= 1/3*3.142*5^2*h

366= 1/3*78.55*h

366= 26.18h

h= 366/26.18

h=13.98 ft

h= 14 ft approx

Hence the Height is 14 ft approx

5 0
3 years ago
Read 2 more answers
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