The state of Georgia has several statewide lottery options. One of the simpler ones is a "Pick 3" game in which you pick one of the 1000 three-digit numbers between 000 and 999. The lottery selects a three-digit number at random. With a bet of $1, you win $390 if your number is selected and nothing ($0) otherwise.
(a) With a single $1 bet, what is the probability that you win $390?
(b) Let x denote your winnings for a $1 bet, so x = $0 or x = $390. Construct the probability distribution for X. Use 3 decimal places.
(c) The mean of the distribution equals ___________ X cents for the dollar paid to play.
(d) Would this be considered a gain for you?
No. For every $1 I pay, I will lose $0.39 on average.
No. For every $1 I pay, I will lose $ 0.61 on average.
Yes. For every $1 I pay, I will win $0.39 on average.
(e) If you play "PICK 3" 100 times, how much should you expect to lose?

Answers

Answer 1

Answer:

1/ 1000 ;

X : _____ 0 ___________ 390

P(x) : ___ 999/1000 ___ 1/ 1000 ;

0.39 ;

D ;

-$61

Step-by-step explanation:

1.)

Probability of winning with a single bet:

Winning numbers in lottery = 1

Lottery size = 1000

P(winning per bet) = 1/ 1000

2.)

X : _____ 0 ___________ 390

P(x) : ___ 999/1000 ___ 1/ 1000

3.)

Σx*p(x)

(0 * 999/1000) + (390 * 1/1000)

0 + 390 / 1000

= 0.39

4)

Expected winning :

Loss = - 1 * 999/1000 ; win = 390 * 1/1000

- 0.999 + 0.39 = - 0.609 = - $0.61

Hence, on average, for every $1 bet, I lose $0.61 on average

E.)

Expected winning for playing 100 times ;

Loss per play:

Expected winning * 100

-$0.61 * 100 = -$61

Loss of - $61 on average


Related Questions

What is the smallest whole number to the right of 3.52?

Answers

I got the answer of 4

If a single person earns 33,200 what would his taxes be to the nearest dollar

Answers

Answer: The answer is,

$5,110

Option (B)

The tax of a single person that earns $33,200 is $5110

The earnings (E) is given as:

[tex]E = \$33,200[/tex]

From the tax table, the equation to calculate the tax of a single person within the income range $28400 to $68,799.99 is:

[tex]Tax =0.25E - 3190[/tex]

So, we have:

[tex]Tax =0.25 \times 33200 - 3190[/tex]

[tex]Tax =8300 - 3190[/tex]

Evaluate the like terms

[tex]Tax =5110[/tex]

Hence, the tax of a single person that earns $33,200 is $5110

Read more about income tax at:

https://brainly.com/question/1775528

solve for x. 8×-3=5(2×+1)​

Answers

Answer:

x = -4

Step-by-step explanation:

8x - 3 = 5(2x + 1)

8x - 3 = 10x + 5

8x - 10x = 5 + 3

-2x = 8

x = 8/-2

x = -4

can someone please help ? (:

Answers

Answer:sure what do you need

Step-by-step explanation:

n

The area is 81 because you multiply 9 times 9 is 81 and then you round to the nearest tenth is 81.0

My new speaker costs $154.00, but I also had to
pay 61 tax. How much did I pay in total for my speakers

Answers

Answer:

$247.94

Step-by-step explanation:

eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

look at the picture plss help​

Answers

The solution for b could really be any answers as long as when that number is  divided by 4.3 it is less than 11.3

1 possible answer though could be 11.3

Because when 11.3 is divided by 4.3 it is less then 11.3

Sorry if I'm missing something and the answer is wrong!

Juanita has 16 model cars and 48 model trains. What is the ratio of the wmber of trains to the member of cars?
O 13
O 14
O 3:1

Answers

Answer:

1:3

Step-by-step explanation:

but thats not and answer

Help me please, I want the answer only.

Answers

Answer:

6 I guessed by looking at the equation

Step-by-step explanation:

Sorry if wrong

a cube has a lateral surface area of 64sq m find the total surface area of the cube

Answers

Answer:

384 square meters.

Step-by-step explanation:

Given that a cube has a lateral surface area of 64 square meters, to find the total surface area of the cube, the following calculation must be performed, knowing that the formula to calculate the area of a cube is to multiply by 6 (the number of sides of the cube) the area of one of its sides:

A x 6 = X

64 x 6 = X

384 = X

Thus, the area of the cube is 384 square meters.

Solve:
(Vx + 2)(Vx - 2) = 0
X=

Answers

Answer:

x = 4

Step-by-step explanation:

Given:

(√x + 2)(√x - 2) = 0

Required:

Find x

SOLUTION:

√x(√x - 2) + 2(√x - 2) = 0 (distributive property)

x - 2√x + 2√x - 4 = 0

x - 4 = 0

x - 4 + 4 = 0 + 4

x = 4

what why did you say you had $80.50 and you add that up

Answers

Answer:

im not sure i understand the question

Step-by-step explanation:

80.50 plus........plus what?

i am confusion

Select all the expressions that are solutions to 5=2/3x. A. 5 2/3 B. 5 2/3 D. 15/2 E. 10/3

Answers

Answer:

C. 5 divided by 2/3

D. 15/2

E. 3/2 X 5  

hope this helps

Step-by-step explanation:

CAN SOMEONE PLEASE HELP ME WITH QUESTIONS 2 AND 3 !!!!!!​

Answers

2. -6
X=3
-2(3)= -6
3. 48
X=16
3(16)= 48

I have attached the question :)

Answers

Answer:

The first one

Step-by-step explanation:

the X values are all diffrent

help me please. Can somebody please help me.

Answers

Answer:

oh my :o

Ok so just mutiply

Step-by-step explanation:

rewrite 4.4.6.4.4.6 using exponents

Answers

Answer:

[tex]4^{4}[/tex]×[tex]6^{2}[/tex]

Step-by-step explanation:

There is 2 of the same number 6 and there is 4 of the number 4

I hope this helps

Refer to the Behavioral Research in Accounting (January 2008) study of Machiavellian traits in accountants, Exercise 1.6 (p. 6). Recall that a questionnaire was administered to a random sample of 700 account- ing alumni of a large southwestern university; how- ever, due to nonresponse and incomplete answers, only 198 questionnaires could be analyzed. Based on this information, the researchers concluded that Machiavellian behavior is not required to achieve success in the accounting profession. (a) What is the population of interest to the researcher? (b) Identify the sample. (c) What inference was made by the researcher? (d) How might the nonresponses impact the inference?

Answers

Answer:

Behavioral Research in Accounting (January 2008) study of Machiavellian traits in accountants

a) Population of interest to the researcher: accountants

b) Sample = 700 accounting alumni

c) The inference made by the researcher = Machiavellian behavior is not required to achieve success in the accounting profession.

d) The non-responses reduce the sample size and this might introduce bias to the inference made to the population.

Step-by-step explanation:

a) Data and Calculations:

Research Question = Is Machiavellian behavior is required to achieve success in the accounting profession?

Population of interest = all accountants

Sample size = 700 accounting alumni of a university

No. of analyzed questionnaires = 198

No. of questionnaires not analyzed due to nonresponse and incomplete answers = 502 (700 - 198)

Percentage of analyzed questionnaires to sample size = 28.3% (198/700 *100)

Percentage of questionnaires not analyzed = 71.7% (100% - 28.3%)

Conclusion reached by the researchers = Machiavellian behavior is not required to achieve success in the accounting profession.

Which is greater 1/4 or .25

Answers

Answer:

they are both the same equal

Step-by-step explanation:

can i get brainliest

They are both the same because 1/4 is 0.25 in fraction form and 0.25 is 1/4 in decimal form.

Determine a set of 3 numbers that are divisible by
6 and 5

Answers

Answer:

30

60

90

120

180

210

240

hope it helped have a good day mate

The answer is 30,60 and 90

1 to the 10 power is what

Answers

Answer:

all u have to do is add a 0 to the end of 1 so it is 10

Step-by-step explanation:

I NEED help Zane is determining whether the given value of the variable is a solution of the equation.

13 + h = 21 for h = 9

What steps should Zane take? Check all that apply.
Substitute 9 for the variable h.
Substitute 21 for the variable h.
Simplify by adding 13 and 21.
Simplify by adding 13 and 9.
21 = 21, so 9 is a solution to the equation.

Answers

Answer:

a, d, f

Step-by-step explanation:

Answer:

A d and f

Step-by-step explanation:

I just did it

A paint store sells 4 pints of paint for $19.00. How much is one pint of paint?

Answers

Answer:

4.75

Step-by-step explanation:

19/4 = 4.75

$4.75 a pint. simply do 19 divided by 4

Write an expression that is equivilant to 5(6+y)

Answers

Answer:

6(5+y) or (30+y)

Step-by-step explanation:

You can just switch around the variables and numbers but keep the equation the same or simplify

Answer: 30+5y

Step-by-step explanation: Which is simplifying

SOMEONE PLSS HELP NEED ASAP

Answers

Answer:

c

Step-by-step explanation:

if the sides are in proportion set the proportions

6.21/ 5.4 = x/2.6; cross multiply

5.4*x = 6.21 *2.6; divide by 5.4

x= 2.99

Find the volume of the given cone.
A.320 in
B.1,244 in
C.415 in
D.622 in

Answers

Answer:

the correct answer is c. 415in

Step-by-step explanation:

You have to multiply the base radius by the height.

Looking for the same answer

what is the leading coefficient for the polynomial -3x^2-5x-4

Answers

The leading coefficient is -3
The leading coefficient is -3. This is because leading coefficient is always the constant in front of the x value with the highest square root.

Alexia drank 2/3 L of water Monday before going jogging she drank 3/8 L of water after her dog how much did Alexis a drink all together right answer as a mixed number

Answers

Answer:

5/11

Step-by-step explanation:

&add up the decimals I think

Need help asap! Solve question b.

Answers

Answer:

D.

Step-by-step explanation:

This is the only one that sounds correct

Answer:

i  cant read it oh i zoomed in B

Step-by-step explanation:

The circumference of a circle is 7xm.
What is the area of the circle?
A. 3.57x m²
B. 12.257x m2
C. 147xm2
D. 497xm2

Answers

Answer:

A = 3.57 m²

Step-by-step explanation:

Given that,

The circumference of a circle is 7xm.

The expression for the circumference of a circle is given by :

[tex]C=2\pi r[/tex]

r is the radius of the circle

[tex]r=\dfrac{C}{2\pi}\\\\r=\dfrac{7}{2\times \dfrac{22}{7}}\\\\r=1.11\ m[/tex]

The area of a circle is given by :

[tex]A=\pi r^2\\\\A=3.14\times (1.11)^2\\\\A=3.89\ m^2[/tex]

Out of given option,

A = 3.57 m²

So, the area of the circle is 3.57 m².

Jogging at a pace of 150 seconds per quarter mile, how long would it take to run 3miles, in minutes?

Answers

Answer:

2400

Step-by-step explanation:

150 times 4 = 600 times 4 = 2400

Answer:

30 minutes

Step-by-step explanation:

150 sec. x 4 = 600 sec.

600 sec. per mile

600 sec. x 3 = 1800 sec.

1800 sec. / 60 sec. = 30 min.

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