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Ne4ueva [31]
2 years ago
7

Jake, Daniel, Timmy, Amy, and Pam are going on a fishing trip. They are taking a pick-up truck which only holds 3 people inside

the truck. The other 2 people will have to ride in the back of the truck. No one wants to ride in the back.
They decide to let fate determine who has to ride in the back, by using this week's winning lottery ticket, which is about to be announced. The winning lottery ticket is a list of 5 numbers. Each number is a random integer from 1 to 1000.
Match each method for deciding who rides in the back with the correct assessment of its fairness.
(Consider a system to be fair when the probabilities of each event are equal.)Method Method 1: If the first number is 1- 200, Jake and Daniel ride in the back. If the first number is 201- 400, Daniel and Timmy ride in the back. If the first number is 401 - 600, Timmy and Amy ride in the back. If the first number is 601- 800, Amy and Pam ride in the back. If the first number is 801- 1000, Pam and Jake ride in the back.
Method 2: If the first number is even, Jake rides in the back. If the first number is odd, Daniel rides in the back. If the second number is 1 - 333, Timmy rides in the back. If the second number is 334 - 666, Amy rides in the back. If the second number is 667 - 1000, Pam rides in the back.
Method 3: Jake is assigned the number 1. Daniel is assigned the number 250 ,Timmy is assigned the number 500. Amy is assigned the number 750 . Pam is assigned the number 1000. The 2 people whose numbers are closest to the fourth number read will ride in the back.

Which method is fair? which method will cause Daniel and Jake to have the greatest chance of riding in the back? which method causes jake and pam to have the least chance of riding in the back
Mathematics
2 answers:
Leokris [45]2 years ago
8 0

Answer:

412

Step-by-step explanation:

VashaNatasha [74]2 years ago
3 0

Answer:

It has to be Timmy and it is 412.

Step-by-step explanation:

Uh I did it in my head and it is really hard to explain.

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In an article in Statistics and Computing [""An Iterative Monte Carlo Method for Nonconjugate Bayesian Analysis"" (1991, pp. 119
Marina CMI [18]

Answer:

Step-by-step explanation:

Hello!

a)

The dependent variable is

Y: length of a dugong

The explanatory variable is

X: age of a dugong

You need to estimate the linear regression of the length of the dugongs as a function of their age.

Using the given data I've estimated the regression using a statistic software:

The regression model is E(Yi)= α + βXi

The estimated model is ^Yi= a + bXi

Where a is the estimate of the intercept and b is the estimate of the slope:

a= 2.02

b= 0.03

And the estimate of the population variance of the error is Se²= 0.03

The estimated regression equation is ^Yi= 2.02 + 0.03Xi

b)

You have to estimate the length of a dugong when its age is 11 years using the model, for this all you have to do is replace X=11 in the regression line and calculate the corresponding ^Y value:

^Yi= 2.02 + 0.03*11= 2.35

The average length of an 11-year-old dugong should be 2.35.

I hope it helps!

5 0
1 year ago
A list has 10 numbers. Each number is a 1, 2, or 3. The average is 2 and the SD is 0. What is the list?
OLga [1]

Answer:

1, 1, 1, 2, 2, 2, 2, 3, 3, 3

Step-by-step explanation:

Since the standard deviation = 0

And the mean of the number = 2

If X is the sum of all the numbers, then

X/10 = 2

Cross multiply and make X the subject of formula

X = 2 × 10 = 20

The sum of the numbers will be 20

The number will be

1, 1, 1, 2, 2, 2, 2, 3, 3, 3

The sum of the above numbers is equal to 20 and the average value of the numbers is equal to 2.

7 0
2 years ago
How do you solve -9( -4r + 6s ) + 3s - 7(6s - 2r)
slavikrds [6]

Answer: 2.1 Pull out like factors :

6s - 2r  =   -2 • (r - 3s)

Equation at the end of step

 ((0-(9•(6s-4r)))+3s)--14•(r-3s)

Pulling out like terms

4.1     Pull out like factors :  6s - 4r  =   -2 • (2r - 3s)

Equation at the end of step

 ((0--18•(2r-3s))+3s)--14•(r-3s)

Final result :

 <u>50r - 93s</u>

7 0
2 years ago
Sales tax on a $400 stereo is $16. What is the tax on a $650 TV?
azamat

The reason being is that we need to find it out of 100. So, we divide 400 by 4 and because we did that to the denominator we have to do it to the numerator so 16 divided by 4 is well 4. So we found out that is 4/100 we just divide that by 650 and we get 26.


TL;DR it’s $26

7 0
1 year ago
Two horses are ready to return to their barn after a long workout session at the track. the horses are at coordinates H(1,10) an
ss7ja [257]
The given information are the coordinates of points H, Z and B. So, the first step to do is to plot these points on a Cartesian plane as shown in the attached picture. We can deduce visually that horse Z is closer to the barns than horse H. But, to further justify the answer, we have to provide the magnitude of the distance of horses H and Z to barn B. In this approach, we use the distance formula:

d = √(x₂ - x₁)² + (y₂ - y₁)²

Use the coordinates of the two points to know their linear distances. These are represented by the red and green lines for each of the horses.

Distance between H and B = √(⁻3 - 1)² + (⁻9-10)²
Distance between H and B = √(⁻3 - 1)² + (⁻9-10)²
Distance between H and B  = 19.4165

Since the scale is 1 unit = 100 meters, the actual distance between horse H and barn B is 19.416*100 = 1,941.65 meters


Distance between Z and B = √(⁻3 - 10)² + (⁻9-1)²
Distance between Z and B = √(⁻3 - 10)² + (⁻9-1)²
Distance between Z and B  = 16.4012

Since the scale is 1 unit = 100 meters, the actual distance between horse Z and barn B is 16.4012*100 = 1,640.12 meters

Comparing the distances: 1,941.65 meters > 1,640.12 meters. Therefore, it justifies that horse Z is nearer to the barn.

4 0
1 year ago
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