A lottery offers one $900 prize, one $600 Prize, three $400 prizes, and four $100 prizes. One thousand tickets are sold at $5 each. Find the expectation if a person buys four tickets. Assume that the player's ticket is replaced after each draw and that the same ticket can win more than one prize. Round to two decimal places for currency problems.

Answers

Answer 1

Answer:

Expected value for 4 tickets = $ -7.6

Step-by-step explanation:

Given - A lottery offers one $900 prize, one $600 Prize, three $400 prizes, and four $100 prizes. One thousand tickets are sold at $5 each.

To find - Find the expectation if a person buys four tickets. Assume that the player's ticket is replaced after each draw and that the same ticket can win more than one prize. Round to two decimal places for currency problems.

Proof -

Given that,

A lottery offers

one $ 900 prize

one $ 600 prize

three $ 400 prizes

Four $ 100 prizes

And

One thousand tickets are sold at $ 5 each

Now,

If the person bought 1000 tickets then the prize he gets is

= 900 + 600 + 3×400 + 4×100

= 900 + 600 + 1200 + 400

= $3100

And

The cost of 1000 tickets = 5×1000 = $ 5000

Now,

Price 1 ticket = [tex]\frac{3100}{1000}[/tex] = $ 3.1

⇒Expectation of 1 ticket = $ 3.1 - 5 = $ -1.9      (Here $5 is price of 1 ticket)

⇒Expected value for 4 tickets = $ 4× -1.9 = $ -7.6

⇒Expected value for 4 tickets = $ -7.6


Related Questions

Assume that a simple random sample has been selected and test the given claim.Claim: The average age of actresses when they win an acting award is more than 34 years oldTo test this claim a simple random sample (SRS) of 27 actresses is used. This sample of 27 actresses had a sample mean of 31.4 years and a standard deviation = 11.2 years. Assume the the distribution of actresses ages is approximately normal.Select all TRUE statements from those given below..For this hypothesis test; H0: ? 34 H1: ?>342. The correct decision is to "support" (fail to reject) the null hypothesis H0.3. We decide to reject the claim that the average age of actresses when they win an acting award is more than 34 years old.4. For this hypothesis test, the P-value = .8815. For this hypothesis test, the test statistic is t = -1.21

Answers

Answer:

how big is your noodle

Step-by-step explanation:

What is the surface area?
40 m
32 m
40 m
48 m
40 m
square meters
i don’t need a explanation i just need a answer pls hurry!!

Answers

Answer:

6,656 square meters

Step-by-step explanation:

Surface area of triangular pyramid = bh + L(S1 + S2 + S3)

Where,

b = 48 m

h = 32 m

L = 40 m

S1 = 40 m

S2 = 40 m

S3 = 48 m

Plug in the values

Surface area = 48*32 + 40(40 + 40 + 48)

= 1,536 + 5,120

= 6,656 m²

A quality report for a production line shows a score of 59 points on a 65-point inspection test. A passing score is 95% compliance. Did the production line pass inspection?​

Answers

Answer:

the production line did not pass

Step-by-step explanation:

Please help for today

Answers

Answer:

football and soccer looks right :)

Step-by-step explanation:

Most likely football and soccer

a cylinder had a diameter of 17 cm and a height of 11 cm. ehat is the volume of the cylinder​

Answers

Answer:

2496.78

Step-by-step explanation:

The estimated regression equation by least squares method minimizes the sum of the Group of answer choices Absolute deviations between actual and predicted y values Differences between actual and predicted y values. Squared differences between actual and predicted y values None of the choices Absolute deviations between actual and predicted x values.

Answers

Answer:

Squared differences between actual and predicted y

Step-by-step explanation:

The least squares regression method used in predictive modeling for linear regression models produces a best fit line which will minimize the square of the mean difference between the actual and projected or predicted values of the dependent, y variable. Hence, the when the sum of the squared value of the difference between the actual and predicted values (residual) are taken, the fit which gives the minimum sum of squared value is the best fit line upon which the estimated regression equation is based.

The true statement is that the estimated regression equation by least squares method minimizes the sum of the (c) Squared differences between actual and predicted y.

In regression, the least square method is used to estimate quantities.

This is done in order to minimize the sum of the squares of the differences between the observed values and the estimated values.

In this case, the observed value and the estimated values represent the actual and predicted y

Hence, the true statement is that the estimated regression equation by least squares method minimizes the sum of the (c)

Read more about least squares method at:

https://brainly.com/question/25927487

Please Help me!!! with this problem

Answers

9514 1404 393

Answer:

  D  120

Step-by-step explanation:

We are given the relation ...

  48 = 0.40 × sales

Dividing by 0.40 gives the sales for the day.

  sales = 48/0.40 = 120

120 milkshakes were sold that day.

Shade 50% of the figure

Answers

Answer:

All you have to so is shade in 2 mini squares and your good

ate has $800 in his checking account. He wants to spend part of this money on a computer. He wants to have at least $350 left in his checking account after buying the computer. The inequality shown can be used to find t, the amount of money in dollars that Nate can spend on the computer.



t plus 350 symbol 800



Which inequality represents all possible values of t?

Answers

Answer:

450 dollars

Step-by-step explanation:

One rectangular solid with a square base has twice the height of another rectangular solid with a square base with the same side length. Which statements about the two rectangular solids are true?
Check all that apply.

The bases are congruent.

The solids are similar.

The ratio of the volumes of the first solid to the second solid is 8:1.

The volume of the first solid is twice as much as the volume of the second solid.

If the dimensions of the second solid are x by x by h, the first solid has 4xh more surface area than the second solid.

Answers

Answer:

First rectangular solid and second Rectangular solid

1. Bases are in the form of square having same dimensions

2. Height of first rectangular solid=2 ×Height of second rectangular solid

The true statements are

A) The bases are congruent.→The meaning of term congruent is that , the two bases are in the shape of square having same dimensions.

(B) No, The solids are not similar.as ratio of side lengths in not same in each case , because the ratio of heights of two solid is equal to .

(D) Volume of first solid = x *x*2 H=2 x²H

Volume of second solid = x*x*H=x²H

Ratio of volumes =2:1

So, option (D) is true.

(E) Surface area of first solid =2[x*x+x*2 H+2 H*x]

=2[x²+4 H*x]=2 *x*[x+4* H]

Surface area of second solid = 2[x*x+x* H+ H*x]=2[x²+2 H*x]=2* x*[x+ 2*H]

Option A, D, E are correct about two solids.

Step-by-step explanation:

Answer:

a, d, e

Step-by-step explanation:

What is the approximate length of the base of the parallelogram in the diagram?

Answers

Answer:

2piR

Step-by-step explanation:

The base of the parallelogram is equal to the circumference.

The length of the base of the parallelogram will be πr.

What is Parallelogram? What is triangle? What is a expression? What is a mathematical equation?In Euclidean geometry, a parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.A triangle is a polygon with three edges and three vertices. The sum of all the angles of a triangle is 180 degrees. Mathematically - ∠x + ∠y + ∠z = 180°There are different types of triangles such as - equilateral triangle , scalene triangle , isosceles triangle etc.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions.

We have a circle converted into a parallelogram as shown.

The angle subtended by each arc at the center =

Ф = (360°/8) = 45°

Length of each arc will be -

L = (Ф/360°) x 2πr

L = (45/360) x 2πr

L = (5/40) x 2πr

L = 1/8 x 2πr

L(A) = πr/4

Length of the base will be -

L(B) = 4 x L(A) = 4 x πr/4 = πr

Therefore, the length of the base of the parallelogram will be πr.

To solve more questions on 2 -D figures, visit the link below-

brainly.com/question/25950519

#SPJ2

Please help me I love u

Answers

45 is the answer have a really good day

To draw a line that is parallel to 9x+12y=16, what should the slope of the line be?(1 point)

A. 4/3
B. -3/4
C. -4/3
D. 3/4

Answers

Answer:

Hi how are you doing today Jasmine

what is the perimeter write your solution

Answers

Answer: 88in

Step-by-step explanation:

As he has doubled the sides, the length would now be 24 and the width would be 20.

So then, to work out the perimeter you have to add up all of the sides.

24+24+20+20=88in

Hope this helps :)

please answer this correctly without making mistakes.I want ace,experts and genius people to answer this correctly without making mistakes


add q and 5, add 2 to the result, then add what you have to 4

Answers

Answer:

q+11

Step-by-step explanation:

you have q and you add 5

q+5

they want you to now add 2

q+5 +2

5+2=7

q+7

now add 4

q+7+4

7+4=11

the final answer is q+11

What the distance between (1,-9) and (6,-6)

Answers

Answer:

8 units for 1, -9

6 units for 6, -6

Step-by-step explanation:

Which shape has more sides than a quadrilateral? A. regular hexagon B. regular quadrilateral C. regular triangle D. rhombus

Answers

Answer: A regular hexagon.

Step-by-step explanation:

2/6+1/4
Show work please
And no links

Answers

Answer:

7/12

Step-by-step explanation:

1/3+1/4

convert to twelfths

4/12+3/12

7/12

Answer:

7/12

Step-by-step explanation:

2/6 + 1/4

Change the denomintors to be alike  (Change the denominators to 12) 4/12 + 3/12

Multipy the top and bottom  

Add

Get 7/12

Brainliest?

I need helpppppppp plssssssssss

Answers

Just put the x in for the equation like 4+2 8+2 10+2 and the outputs would be 6, 10, and 12
4 division sign 2= 2
8 division sign 2= 4
10division sign 2 = 5

im sure you put the output as what you got like 2,4,5 Hope this helps and makes sense!

Helps, also explain how to do it I want to learn how and stop using brainy​

Answers

Answer:

259

Step-by-step explanation:

USE PEMDAS

Parenthesis

Exponent

Multiplication

Division

Addition

Subtraction

What are the answers to question 1 and 3 PLZZ HURRRYYY

Answers

Step-by-step explanation:

1. Since ark MN is equal in length with ark PQ, line MN=PQ

So 4x+10=38

4x=38-10

4x=28

x=28/4

x=7

3. Same thing so we equate the two parameters

5x-7=3x+2

2x=9

x=9/2

x=4.5

8) How many terms of the arithmetic sequence (2, 4, 6, 8, ...} will give a sum of 600?

PLZ ANSWER

Answers

Answer:

I believe the answer is 300

Step-by-step explanation:

A rectangle has a length of (x+3) centimeters and a width of 1/2x centimeters. If the perimeter is 24 cm, what is the length of the rectangle?

Answers

Answer:

17

Step-by-step explanation:

(X+3)+½x=24

1½x+3=24

1½x=24-3

1½x=21

x=14.

Length=14+3=17

Help pleaseee is for nowwww

Answers

Answer:

your bo**bs are so far wooooooooooooooooow!!!!

Quincy measured a picnic area near the river and made a scale drawing. He used the scale 1 inch : 10 yards. In the drawing, the picnic area is 17 inches long. What is the length of the actual picnic area?

Answers

Answer:

170 yards

Step-by-step explanation:

1:10

2:20

3:30

4:40

5:50

6:60

7:70

8:80

9:90

10:100

11:110

12:120

13:130

14:140

15:150

16:160

17:170

or you could just use fractions or find the formula

the formula for this equation: number of yards = number of inches times ten

Two swim clubs are having a membership sale. Aqua Plus is offering a two-year membership for $479.76. Water
World is offering an 18-month membership for $350.00. Which describes the swim club that has the lower-priced
offer?
O Aqua Plus has the lower cost of $239.88 per year
O Water World has the lower cost of $239.88 per year.
O Aqua Plus has the lower cost of $19.44 per month
Water World has the lower cost of $19.44 per month

Answers

Answer:

option d is correct

Step-by-step explanation:

hope this helped

Answer:

D

Step-by-step explanation:

Edge 2019

If I lost 4% of 100 pencils an 6% of 200 pens how many pencils do I have left and how many pens do I have left?

Answers

To find 4% you multiply 100 by .04
100•.04=4
Then subtract
100-4=96 *you have 96 pencils left*

To find 6% of 200, multiply 200 by .06
200•.06=12
Then subtract
200-12=188 *you have 188 pens left*

Round 796,154 to nearest 100,000

Answers

Answer:

800,000

Step-by-step explanation:

The 9 makes the 7 round up making it 800,000.

Answer:

I'm pretty sure it's 800,000!

Step-by-step explanation:

Since 9 is larger than 5, you're rounding up. This would cause 7 to be rounded up to 8, making it 800,000!

need help geometry question central angles and arcs ??? pls help

Answers

Answer:

45°

Step-by-step explanation:

180 (half a a circle) + 135 = 315

360 - 315 = 45

Prove the following identity


sin x(sec x+cscx)= tan x +1

Answers

Answer:

Step-by-step explanation:

________________________________________________________

FACTS TO KNOW BEFORE SOLVING :-

[tex]\sin x = \frac{1}{cosec \: x} \: \: or \: \: cosex \: x = \frac{1}{\sin x}[/tex][tex]\cos x = \frac{1}{\sec x} \: \:or \: \: \sec x = \frac{1}{\cos x}[/tex][tex]\tan x = \frac{\sin x}{\cos x}[/tex]

________________________________________________________

In the question ,

L.H.S. = [tex]\sin x (\sec x + cosec \: x)[/tex]

R.H.S. = [tex]\tan x + 1[/tex]

Lets solve L.H.S. first.

[tex]\sin x (\sec x + cosec \: x)[/tex]

[tex]=> \sin x( \frac{1}{\cos x} + \frac{1}{\sin x} )[/tex]

[tex]=> \frac{\sin x}{\cos x} + \frac{\sin x}{\sin x}[/tex]

[tex]=> \tan x + 1[/tex]

∴ L.H.S. = R.H.S. (Proved)

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