You place a 1-dollar bet on the number 17 at Las Vegas, and your friend places a 1-dollar bet on black (see Exercises 1.1.6 and 1.1.7). Let X be your winnings and Y be her winnings. Compare E(X), E(Y ), and V(X), V(Y). What do these computations tell you about the nature of your winnings if you and your friend make a sequence of bets, with you betting each time on a number and your friend betting on a color

Answers

Answer 1

Answer:

E(x)  = -$0.05263

E(y) = -$0.05263

V(x) = 0.9972

V(y) = 32.23

the expectations are the same, both will lose the same amount of money if they play for 38 times.

Though Variance is different. The girl betting on colors has little chance to gain  and lose but the boy betting on number has huge deviation

Step-by-step explanation:

Given that; you place a 1-dollar bet on the number 17 at Las Vegas and your friend places a 1-dollar bet on black.

Let x represent your winnings and y represent your friends winnings

we know that, There are 18 black slots, 18 red slots and two green slots (0 and 00) on a US roulette wheel.

so, the chances of getting black(red) = 18/38

now, E(y) = (18/38)$1 + (20/38)(-$1)

E(y) = -$0.05263

Now, bets made on the chart of the various numbers 1 to 36 and zero, Just put a chip down in the middle of the square with the number you select. If it comes up, it pays 35-to-1. It is called a straight up bet.

hence, the chance of getting selected number will be 1/38

so E(x) will be;

E(x) = (1/38)$35 + (37/38)(-$1)

E(x)  = -$0.05263

So, V(x) will be;

V(x) = [ 1 - (1/19)² ]

= 1 - 0.00277

V(x) = 0.9972

V(y) = { [ (35)² × (1/38) ] - (1/19)² }

= 32.2368 - 0.00277

V(y) = 32.23

Therefore, the expectations are the same, both will lose the same amount of money if they play for 38 times.

Though Variance is different. The girl betting on colors has little chance to gain  and lose but the boy betting on number has huge deviation.


Related Questions

A particle moves along the x-axis so that at time t≥0t\ge 0t≥0 its position is given by x(t)=−t3+6t2−9t+42.x(t)=-t^3+6t^2-9t+42.x(t)=−t3+6t2−9t+42. Determine the total distance traveled by the particle from 0≤t≤4.0\le t \le 4.0≤t≤4.

Answers

Answer: 4 units

Step-by-step explanation:

The given position function: [tex]x(t)=-t^3+6t^2-9t+42.[/tex], where t≥0.

To determine:  Total distance traveled by the particle from 0≤ t ≤ 4.0.

At t=0,

[tex]x(0)=-(0)^3+6(0)^2-9(0)+42=42\\[/tex]

At, t=4,

[tex]x(4)=-(4)^3+6(4)^2-9(4)+42\\\\=-64+6(16)-36+42=38[/tex]

Total distance traveled by the particle from 0≤ t ≤ 4.0 = |42-38| units

= 4 units

Hence, the distance traveled by the particle from 0≤t≤4.0 is 4 units.

What is equivalent to 12/24

Answers

Answer:

1/2

0.5

2/4

3/6

4/8

50%...

Step-by-step explanation:

2x+5 = 11
What is x in this equation

Answers

Answer:

x=3

Step-by-step explanation:

Subtract 5 from both sides:

2x=6

Divide both sides by 2:

x=3

Answer:

3

Step-by-step explanation:

2x+5=11

subtract 5 from both sides of the equation

2x=6

Then divide by two to both sides of the equation

x=3

How can deforestation reduce the amount of land that can be farmed?
HELP PLS

Answers

It can cause soil erosion, fewer crops, flooding, climate change, etc. Good luck!:)

Match the numbers on the left with their equivalent forms on the right.


1. 2/25 46%

2. 23/50 70%

3. 14/20 0.08

4. 90% 0.9

Answers

Answer:

1. 2/25 = 0.08 = 80%

2. 23/50 = 0.46 = 46%

3. 14/20 = 0.70 = 70%

4. 90% = 90/100 = 0.9

Step-by-step explanation:

To find the right match, we would divide the fraction on the left and select the value that is the same with the answer gotten.

1. 2/25 = 0.08 = 80%

2. 23/50 = 0.46 = 46%

3. 14/20 = 0.70 = 70%

4. 90% = 90/100 = 0.9

i only need 12 13 14

Answers

There isn’t any picture you may have to repost
i cant see the pic .........

someone pls help (15 points)
need asappppp

Answers

Answer:

x=7

Step-by-step explanation:

(x+16)=(4x-5)

Subtract x from both sides

16=3x-5

Add 5 to both sides

21=3x

Divide both sides to get x=7

Both angles are congruent due to the vertical angles theorem which states that if angles are vertical then they are congruent.

Hope this helps!

The difference between two numbers is 2.5 . The product of those two numbers is 21. Provide the 2 equations needed to solve the application separated by a comma and NO SPACES.

Answers

Answer:

x-y=2.5,xy=21

Step-by-step explanation:

This question can be solved by a system of equations.

I am going to say that:

One of the numbers is x.

The other number is y.

The difference between two numbers is 2.5

This means that x - y = 2.5

The product of those two numbers is 21.

This means that xy = 21.

So the two equations are: x-y=2.5,xy=21

Help please______________________________

Answers

Answer:

By rounding each number to the nearst whole number, estimate the solution:

2.7²X4.3=31.347

8.8-5.15=3.65

for this 31 and 4 if you want to round

Step-by-step explanation:

Answer:

?????????

Step-by-step explanation:

what is 3 over 40 written as a decimal ?

Answers

Answer:

0.075

Step-by-step explanation:

3/40 = 0.075

hope it help u

plz follow me

6 If the altitudes of a triangle meet at one of the triangle’s vertices, then the triangle is

1) a right triangle

2) an acute triangle

3) an obtuse triangle

4) an equilateral triangle

Answers

Answer:

1) a right triangle

Step-by-step explanation:

One of the caractheristics of a right triangle, the one in which the sum of the two sides squared is the hypotenuse squared(Pytagorean Theorem), is also the the altitudes of a triangle meet at one of the triangle’s vertices. So 1) is the answer to this question.

23 inches is what fraction of a yard

Answers

Answer:

0.6

Step-by-step explanation:

1 inch = 0.0278

so 23 inches = 0.6 yard

Tickets for an upcoming concert are sold out but a local charity is having a raffle and the prize is a pair of tickets to the concert. One hundred people enter the raffle, so each individual who entered has 1/100 probability of winning the pair of tickets. You and a friend both entered. What is the probability that one or the other of you wins the tickets

Answers

Answer:

[tex]P(A\ or\ B) = \frac{1}{50}[/tex]

Step-by-step explanation:

Represent the event that you win with A and the even that your friend win with B.

So, we have:

[tex]P(A) = \frac{1}{100}[/tex]

[tex]P(B) = \frac{1}{100}[/tex]

Required

Calculate P(A or B)

Both events are mutually exclusive.

So:

[tex]P(A\ or\ B) = P(A) + P(B)[/tex]

Substitute values for P(A) and P(B)

[tex]P(A\ or\ B) = \frac{1}{100} + \frac{1}{100}[/tex]

Take LCM

[tex]P(A\ or\ B) = \frac{1+1}{100}[/tex]

[tex]P(A\ or\ B) = \frac{2}{100}[/tex]

Simplify:

[tex]P(A\ or\ B) = \frac{1}{50}[/tex]

7(x — 6) = 3х +9

Helppp

Answers

answer: x=51/4
step by step explanation: ask if needed

Answer:

7x-42=3x+9

7x-3x=42+9

4x=51

x=51/4

x=12.75

Step-by-step explanation:

Work out the values of a and b in the identity
5(7x + 8) + 3(2x + b) ≡ ax + 13

Answers

The correct answer is A = 41+3b/x+27/x
B = ax/3-41x/3 - 9

© Find the equation of the line of symmetry for the equation of the graph below.
y = x2
4x
45
T =

Answers

ANSWER:: X= -2

HOPE IT HELPS!!! :D

A painter needs 5 gallons of paint to finish a house. He has 3 quarts and 1 pint. How much more paint does he need

Answers

Answer:

Step-by-step explanation:

He needs 1 pint to get the 3 quarts to 4 quarts.

4 quarts = 1 gallon.

So if he buys 1 pint he will have 1 gallon.

He needs 5 gallons.

He has 1 gallon

He needs 5 - 1 = 4 gallons.

Answer: he needs 1 pint and 4 gallons.

Katherine D’Ann is planning to finance her college education by selling programs at the football games for State University. There is a fixed cost of $400 for printing these programs, and the variable cost is $3. There is also a $1,000 fee that is paid to the university for the right to sell these programs. If Katherine was able to sell programs for $5 each, how many would she have to sell in order to break even?

Answers

Answer:

700 programs

Step-by-step explanation:

Given that :

Fixed cost = $400

Variable cost = $3 per program

Right to sell fee = $1000

Sales price per program = $5

Let number of programs sold = x

In other to break even, expense = revenue

(Fixed cost + variable cost per program + right to sell fee) = sales price per program

(400 + 3x + 1000) = 5x

1400 + 3x = 5x

1400 = 5x - 3x

1400 = 2x

1400 / 2 = x

x = 700

Number of programs to be sold in other to break even = 700

There are 9 students in the art club. The students shared 150 sheets of construction paper equally for an art project. How many sheets of paper were left over?

Answers

Answer: 6 sheets left over.

Step-by-step explanation:

Given, Total students = 9

Total sheets = 150

If sheets were divided equally, then the number of sheets each student got = Total sheets ÷ Total students

= 150 ÷ 9

[tex]= 16\dfrac{6}{9}[/tex]

So, each student got 16 sheets and 6 sheets left over.

Hence, 6 sheets were left over.

Here are the first four terms of a number sequence.
8
14
20
26
Write down the next term of the number sequence and explain how you found your answer

Answers

8,14,20,26

8 to 14 is 6
14 to 20 is 6
20 to 26 is 6


The next term will be 26 + 6 = 32

Because there is a gap of 6 between each number

(GIVING BRAINLYIST) 3 pizzas are shared equally between 10 people. what fraction of a pizza does each person receive. show your work on a image or on paper with using fraction models! thank you for your help :D

Answers

Answer:

1/3

Step-by-step explanation:

Since there are ten people, you have to divide three by ten. It would be 1/3.

Which is the product in the expression 5(z+6)-25+x

Answers

I think this is right x+5z+5
X+5z+5 would be the correct answer for this. Do you need an explanation?

Compute 292,000 divide 100.

Answers

I think The answer is 2920

The division 292,000 divide 100. results to 2920.

What is Division?

Repetitive subtraction is the process of division. It is the multiplication operation's opposite. It is described as the process of creating equitable groups. When dividing numbers, we divide a larger number down into smaller ones such that the larger number obtained will be equal to the multiplication of the smaller numbers.

Given:

292,000 divide 100.

We know division with zero in the denominator is different and easy.

As, 292000 have three and 100 have two zeroes.

So, the two zero of hundred cancels out the two zeroes of  292000.

So, 292000/ 100

= 2920

Hence, the division results to 2920.

Learn more about Division here:

https://brainly.com/question/21416852

#SPJ2

Which of these transaction types

DECREASE how much you owe the credit card

company?

Answers

Options:

a. Balance Transfers

b. Cash Advances

c. Payments

d. Interest Charges

Answer:

c. Payments

Step-by-step explanation:

Of all the given options, only (c) Payments decreases amount owed.

(a) Balance transfer means one is taking out cash from the account (i.e. a debit transaction); (b) Cash advances implies a withdrawal transaction from one's account and (c) Interest charges is the amount of interest deducted from an account over a debt for a given period.

As analysed , each of the above transactions increases debts.

However, (c) Payments implies a credit transaction and as such, reduces the amount owed.

The only transaction type among the given ones that helps to decrease how much you owe the credit card company is;

Option C; Payments

The missing options are;

A) Balance Transfers

B) Cash Advances

C) Payments

D) Interest Charged

We want to find out which of the transactions among the given options would lead to a decrease in the amount you owe the credit card company.

Let's analyze the options;

Option A; Balance transfer means when a customer wants to move the amount he/she owns to a credit card that has lower interest rates. This does not reduce the debts as the debts are still there just that you have moved the funds to another credit card.

Option B; Cash advances are typically short term loans offered the credit card company. Thus, it only increases your debt.

Option C; Payments in this case means paying outstanding debts with the credit card holder. Thus, it helps to decrease how much you owe the credit card company.

Option D; Interest charges are usually the amount issued by the credit card holder for debts accrued over a given period of time.

Looking at the options, the only one that helps to decrease how much you owe the credit card company is Option C.

Read more at; https://brainly.com/question/15125280

plz plz plz
i am running out the time

Answers

Answer:

mode:7

range:8

Step-by-step explanation:

mode is the most repeated number

range is the greatest -smallest number

How much longer is 3/8 foot than 1/8 foot?

Answers

Answer:

2/8 foot longer

Step-by-step explanation:

Find the retail price of an item with a wholesale price of $50 at a 30% markup

Answers

Answer:

65% i do believe!

Step-by-step explanation:

Answer:

I would say 65% probably

Graph the equation. Y=3x+4​

Answers

here is what the graph would look like. hope this helps! xoxo

find the value=
sin 30° + cos 60° + tan 0​

Answers

Answer:

1/2+1/2 + 0

= 1

Step-by-step explanation:

sin30° = 1/2

cos 60° = 1/2

tan 0° = 0

If you have 100,000,000 dollars how many NFL teams can you buy. (NFL teams cost 32,00 dollars.)

Answers

Answer:

3125

Step-by-step explanation:

Answer:

There is only 32 so it 32

Step-by-step explanation:

Because there’s only 32

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