Find the expected value of the winnings from a game that has the following payout probability distribution: Skip Payout ($) 1 2 5 8 10 Probability 0.35 0.2 0.1 0.2 0.15 Expected Value = [?] Round to the nearest hundredth.​

Answers

Answer 1

Answer:

$4.35

Step-by-step explanation:

The expected value of a random variable X, often denoted as E(X), indicates the probability-weighted average of all possible values/events. The general formula of expected value is

[tex]\mathrm{E(\textit X \mathrm)} = \displaystyle\sum_{\mathclap{i=1}}^{k} \ X \times P(X) \\ \\ \\ = X_{1} \times P(X_{1}) \ + \ X_{2} \times P(X_{2}) \ + \ X_{3} \times P(X_{3}) + \ \cdots \ + X_{k} \times P(X_{k})[/tex].

Therefore, the expected value of the winnings from a game is

[tex]\mathrm{E(\textit X \mathrm)} \ = \ 1 \times 0.35 \ + \ 2 \times 0.2 \ + \ 5 \times 0.1 + \ 8 \times 0.2 \ + 10 \times 0.15 \\ \\ = \ 4.35 \ \ (\mathrm{nearest \ hundredth})[/tex].


Related Questions

for 0 ≤ θ < 2 π what are the solutions to sin^2(θ) =2sin^2(θ/2)

Answers

Answer:

Option A: [tex]\{0,\frac{\pi}{2},\frac{3\pi}{2}\}[/tex]

Step-by-step explanation:

[tex]sin^2(\theta)=2sin^2(\frac{\theta}{2}), [0,2\pi)[/tex]

[tex]sin^2(\theta)=2sin^2(\frac{\theta}{2})[/tex]

[tex]sin^2(\theta)=2sin(\frac{\theta}{2})sin(\frac{\theta}{2})[/tex]

[tex]sin^2(\theta)=2(\sqrt{\frac{1-cos(\theta)}{2}})(\sqrt{\frac{1-cos(\theta)}{2}})[/tex]

[tex]sin^2(\theta)=2(\frac{1-cos(\theta)}{2})[/tex]

[tex]sin^2(\theta)=\frac{2-2cos(\theta)}{2}[/tex]

[tex]sin^2(\theta)=1-cos(\theta)[/tex]

[tex]1-cos^2(\theta)=1-cos(\theta)[/tex]

[tex]-cos^2(\theta)=-cos(\theta)[/tex]

[tex]cos^2(\theta)=cos(\theta)[/tex]

[tex]cos^2(\theta)-cos(\theta)=0[/tex]

[tex]cos(\theta)[cos(\theta)-1]=0[/tex]

[tex]cos(\theta)=0[/tex]

[tex]\theta=\frac{\pi}{2},\frac{3\pi}{2}[/tex]

[tex]cos(\theta)-1=0[/tex]

[tex]cos(\theta)=1[/tex]

[tex]\theta=0[/tex]

Therefore, the solutions contained within the interval are [tex]\{0,\frac{\pi}{2},\frac{3\pi}{2}\}[/tex]

Helpful Tips:

Half-Angle Formula: [tex]sin(\frac{\theta}{2})=\pm\sqrt{\frac{1-cos(\theta)}{2}}[/tex]

Pythagorean Identity: [tex]sin^2(\theta)+cos^2(\theta)=1,sin^2(\theta)=1-cos^2(\theta),cos^2(\theta)=1-sin^2(\theta)[/tex]

[tex]\sin^2 \theta = 2 \sin^2 \left(\dfrac{\theta}2 \right)\\\\\implies \sin^2 \theta = 1- \cos 2 \cdot \dfrac{\theta}2\\\\\implies \sin^2 \theta = 1- \cos \theta \\\\\implies 1-\cos^2 \theta = 1 - \cos \theta \\\\\implies -\cos^2 \theta - \cos \theta = 0\\\\\implies \cos^2 \theta - \cos \theta = 0\\\\\implies \cos \theta( \cos \theta -1) = 0\\\\\\\text{Now,}\\\\\cos \theta = 0\\\\\implies \theta = n\pi + \dfrac{\pi}2\\\\\text{For n = 0,1 and}~ [0.2\pi)\\\\[/tex]

[tex]\theta = \dfrac{\pi}2, \dfrac{3\pi}2[/tex]

[tex]\text{Again,} \\\\\cos \theta -1= 0\\\\\implies \cos \theta = 1\\\\\implies \theta = 2n\pi\\\\\text{For n= 0 and}~ [0,2\pi)\\\\\theta = 0\\\\\text{Combine solutions,}\\\\\theta = 0, \dfrac{\pi}2, \dfrac{3\pi}2[/tex]

-9=-12+b
What is the equation?

Answers

Answer:

The answer is 3 because you have to add 12 to both sides to isolate b.

Step-by-step explanation:

THE EQUATION IS -9=-12+b.

Which choice is equivalent to the product below?
14.6
O A. 125
B. 6-28
C. 2-21
D. 28

Answers

Answer:

2√21

Step-by-step explanation:

1) Simplify.

√84

2) Simplify √84 to 2√21.

2√21

1/3 of 3 please help I'll give 20 points​

Answers

Answer:

1

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

I need the anwser to this right now please

Answers

Answer:

b. 9

Step-by-step explanation:

2+9=11

11+11=22

22+6=28

answer: 9

(3+3)-28 = 22
that leaves the other side having to be 11 on each so
2+9= 11

For the following inequality, find a solution for the variable. Show all of your work and use complete sentences to explain the solving process that you used to find a solution for the inequality. Be sure to include at least two terms from the word bank
1/4 x \leq -3

Answers

Answer:

x<=-12

Step-by-step explanation:

1/4x<=-3

*Multiply both sides by 4

x<=-12

and it's solved :)

I SWEAR IF I GET ANOTHER LINK I WILL SCREAM Parth created a Box-and-Whisker Plot to show the average weight of the fish he caught over the weekend. What information from the 1st Quartile does the graph give you?




A. Three fourths of the fish he caught were larger than 22 pounds.

B. The average weight of the fish he caught was 40 pounds.

C. Three fourths of the fish he caught were less than 22 pounds.

D. The largest fish he caught was 63 pounds.

Answers

Answer:

C. Three fourths of the fish he caught were less than 22 pounds.

Step-by-step explanation:

Hope it helps! At least you didn't scream Imao

Answer:

C

Step-by-step explanation:

i answered so the other person gets the brainliest they deserve!

Suppose a special discount makes the price of Nike air max shoes 10% lower. As result, there is a 20% increase in the quantity demanded for the shoes, which statement is correct ____?

Answers

It is evident from the problem statement that an overall price reduction of Nike air max shoes will lead to an increase in the demand for the shoe.

In Economics,  the relationship between price and demand is stated as follows "If all other factors remain equal, the higher the price of a good, the fewer people will demand that good. In other words, the higher the price, the lower the quantity demanded and vice versa."

In all, the Law of Demand tells us that if more people want to buy something, given a limited supply, the price of that thing will be bid higher, also of the price of something is low the demand will be high.

learn more:

https://brainly.com/question/25585026

Help help math math math math

Answers

Answer:

y= [tex]\frac{3}{2}[/tex]x -1

Step-by-step explanation:

To find slope I first found the two points on the graph which were (0, -1) and (2, 2). Then I used rise over run to find the slope the point went up 3 units and to the right two units.

then to find the y intercept I found a pint of the graph where the line had passed through the y-intercept line on the graph which just so happened to be -1.

__________________________________________________________

Hope this helps!!

If I am wrong, please tell me, I enjoy learning from my mistakes:)

Answer:

y = 3/2 - 1

Step-by-step explanation:

First let's take two coordinates in the line.

( 2 , 2 )     ( 0 , -1)

You can use y = m x + c to find the equation of the line.

Here,

m → slope

c  → y - intercept

( 2 , 2 )                ( 0 , -1)

 ↑  ↑                    ↑  ↑

( x1 , y1 )            ( x2 , y2 )

First let's find the slope of the line.

m = ( y1 - y2) / ( x1 - x2)

m = ( 2 - (-1) ) / (2 - 0 )

m = ( 2 + 1 ) / 2

m = 3 / 2

Now let's find the y - intercept of the line.

For that, let's use ( 0 , -1 ) coordinate

y = m x + c

y = 3/2 × 0 - 1

y = 0 - 1

y = ( - 1 )

Therefore, the equation of the line is,

y = 3/2x - 1

Hope this helps you :-)

A basketball player made 80 out of 100 attempted free throws what percent of free throws was made ?

Answers

Answer:

8/10

Step-by-step explanation:

id hope your have a great day

Answer:

80%

Step-by-step explanation:

80÷100=.8 which is 80%

QUESTION 3. ANSWER CHOICE'S ARE THE SECOND PICTURE. PLEASE ANSWER ALL I WILL GIVE BRAINLEST

Answers

Answer:

1. The cost of the fencing material for each side of the playground.

2. The perimeter of the park

3. The labor fee

4. The cost of the fencing material for the whole park.

Step-by-step explanation:

Hope this helps! :)


Help please and thanks

Answers

Answer:

Rate of change of length of shadow is [tex]\frac{15}{7} ft/s[/tex]

Step-by-step explanation:

Consider the figure

We have

[tex]\begin{aligned}&\frac{d x}{d t}=\text { rate of person walking } \\&\frac{d y}{d t}=\text { rate of change of shadow length } \\&\frac{d x}{d t}+\frac{d y}{d t}=\text { rate of change of tip of shadow }\end{aligned}[/tex]

[tex]\begin{aligned}&\frac{6}{20}=\frac{y}{x+y} \\&6(x+y)=20 y \\&6 x+6 y=20 y \\&6 x=14 y\end{aligned}[/tex]

[tex]6\left(\frac{d x}{d t}\right)=14\left(\frac{d y}{d t}\right)\\\\6(5)=14\left(\frac{d y}{d t}\right)\\\\\frac{30}{14}=\frac{d y}{d t}\\\\\frac{15}{7}=\frac{d y}{d t}\\\\[/tex]

Rate of change of length of shadow is [tex]\frac{15}{7} ft/s[/tex]

Melllissa owns 4 sets of jewelry. Each set contains 2 earrings, 1 neckles, 1 bracelet, 1 ring. How many pieces of jewelry does Melissa have all together?

Answers

Answer:

The answer is to the problem is 18.

Evaluate 40x40x402x2x2

Answers

Answer:

2,572,800

Step-by-step explanation:

I hope this helps!

Answer: 40 x 40 x 402 x 2 x 2 =128,640

#6) Find the value of x. Be sure to show your work. ​

Answers

The answer is x=70

My work below in the picture

what is 9/blank= 4? i really don't know

Answers

Answer:

9/4

Step-by-step explanation:

Answer:

9/2.25 = 4

Step-by-step explanation:

9/x = 4

x = 9/4 or 2.25

Which inequality matches the graph?

Answers

Answer:

x < 2/3 y + 2 1/3

Step-by-step explanation:

put it in a graphing calculator and they matched, I do not know

Date: Pages of * The current ratio of a business is the ratio of its current assets to its current labilities. After consulting with the comptroller, the president of Ace sports equipment company decides to take out a short-term loan to build up inventory. The company has current assets of $350,000 and current labilities of $ 80,000. How much can the company borrow if the current ratio is to be no less than 2.5?

Answers

Answer:

this is wrong answer

Step-by-step explanation:

Help help math math math

Answers

Answer:

This is a nonlinear function

Step-by-step explanation:

This is because in increase in y changes every time in this function, from 3 to 5 to 7

The answer is Non-Linear. Hope this helps :)

Please help I'll mark brainliest

A cook came across two cups and one saucer in a kitchen cupboard.

Bored for something to do, she weighed each item.

Altogether, the three items came to 12 ounces.

The larger cup with the saucer weighed exactly double of the smaller cup.

The smaller cup with the saucer weighed exactly the same as the larger cup.

What did each item weigh?

Answers

Answer: saucer 3 ounces smaller cup 3 ounces larger cup 6 ounces

Step-by-step explanation:


Sara says, "If you subtract 17 from my number and multiply the difference by - 4, the result is
- 60." What is Sara's number?

Answers

Answer:

32

Step-by-step explanation:

ok to the result is - 60 she said. So then we know that in order to get -60, you had to subtract 17 from the original number and multiply by -4.

equation is this: (x-17)×-4= -60

Next, we solve using pemdas!

x-17=[tex]\frac{-60}{-4}[/tex]   (keep in mind that a negative cancels out a negative!)

add 17 to both sides

x= [tex]\frac{-60}{-4}[/tex]+17

So then now that you have the new equation you simplify!

x= 32

David invests $10,000 in a savings account that pays 3.5% simple interest. If David

makes no withdrawals or deposits to the account, how much will be in the

account after 7 years.

Answers

Answer:

David will have $12,450 if he makes no withdrawals.

(x+1)/(x+2)=3/4
Solve the equation​

Answers

4(x+1)=3(x+2)

4x+4=3x+6

4x-3x=6-4

X=6-4

Answer is X=2

PLS HELP!
For which value of x does each expression make sense:

(square root) -2x^2

(square root) (-2x)^3

(square root) (-2x)^2

Answers

The value of x must be less than zero for the expression to make sense

The value of x must be less than zero for the expression to make sense

The value of x must be greater than zero for the expression to make sense

For each of the expressions to make sense, the values inside the square root must be greater than zero.

For the expression [tex]\sqrt{-2x^2}[/tex]

-2x^2 > 0

x^2 < 0/-2

x^2 < 0

x < 0

The value of x must be less than zero for the expression to make sense

For the expression [tex]\sqrt{(-2x)^3}[/tex]

(-2x)^3 > 0

-8x^3 > 0

x^3 < 0/-8

x^3 < 0

x < 0

The value of x must be less than zero for the expression to make sense

For the expression [tex]\sqrt{(-2x)^2}[/tex]

(-2x)^2 > 0

2x^2 > 0

x^2 > 0

x > 0

The value of x must be greater than zero for the expression to make sense

Learn more on inequality here: https://brainly.com/question/24372553

Can you please help me with number 15

Answers

Answer:

142.25 miles

Step-by-step explanation:

239- 96.75

142.25

142.25 miles I think

The sum of the numbers is 66. The larger number is 16 more than the sanaller number, What are the numbers

Larger number: Smaller number:

Answers

Answer:

S 25, L 41

Step-by-step explanation:

Small + Large = 66

Large = Small + 16

s + (s + 16) = 66

2s + 16 = 66

2s = 50

s = 25

25 + Large = 66

Large = 41

HELPPPP ASAPPPPPPPPPPPP

Answers

Answer:

C

Step-by-step explanation:

The question in the picture​

Answers

1/27

Explanation:

You would multiply to get to the answer.                                                                                    

It’s blurry?…. Better picture

what is the equation of the circle graphed. ​

Answers

Answer:

Since the logarithmic function is define for ×>-3,thus,the graph has a vertical asymptote at ×=-3.

what is an equation of the line that passes through the point (3, -8) and has slope -2?

Answers

Answer:

Step-by-step explanation:

slope of -2 means the slope is -2/1

from (3, - 8) you can find the y intercept by going backwords until x = 0

(2,-6)

(1,-4)

(0,-2)

so the y intercept is -2

y = -2x - 2

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