a player pays $15 to play a game in which a chip is randomly selected from a bag of chips. the bag contains 10 red chips, 4 blue chips, and 6 yellow chips. the player wins $5 if a red chip is selected, $10 if a blue chip is selected, and $20 if a yellow chip is selected. let the random variable x represent the amount won from the selection of the chip, and let the random variable w represent the total amount won, where w=x−15. what is the mean of w ?

Answers

Answer 1

The mean of w which represents the total amount won where w = x + 15 is;

w = -$4.5

We are given;

Winnings if a red chip is selected; x₁ = $5.

Now, there are 10 red chips in a bag of 20 chips.

Thus, the probability of this outcome is:

p₁ = 10/20

p₁ = 1/2

Winnings if a blue chip is selected; x₂ = $10

Now, there are 4 blue chips in a bag of 20 chips.

Thus, the probability of this outcome is:

p₂ = 4/20

p₂ = 1/5

Winnings if a yellow chip is selected; x₃ = $20

Now, there are 6 blue chips in a bag of 20 chips.

Thus, the probability of this outcome is:

p₃ = 6/20

p₃ = 3/10

Finally, the expected value is:

E(X) = 5(¹/₂) + 10(¹/₅) + 20(³/₁₀)

E(X) = $10.5

We are told that w = x - 15

where x is the amount won from selection of chip which is E(X) = $10.5

Thus;

w = 10.5 - 15

w = -$4.5

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Related Questions

Which of the following about persuasive speaking is not true.

Answers

Answer:

Please, provide with options.

Explanation:

Thank you!!

I think you'll find the house easily as the directions are quite clear.

Answers

The correct rephrase of the sentence is:

The directions are quite clear, so you ought to find the house easily.

Emphatic stress is a test that assesses a student's ability to recognize a word in a phrase or a phrase itself that needs to be stressed or repeated with greater power. 

From the given sentence:

I think you'll find the house easily as the directions are quite clear.

The correct version that clearly rephrases the sentence giving it an objective viewpoint thereby eliminating informal elements in the is:

The directions are quite clear, so you ought to find the house easily.

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Describe the say it, cover it, resay it method. (site 1).

Answers

It’s a kind of routine that a person can use to help students express their understandings of an unfilmilar word meaning. Have students read an chunk of text containing the unfamiliar word then cover it with a hand or sheet of paper and resay what the word means in their own words

They say it, cover it, and resay its method is used in the system of paraphrasing.

What is paraphrasing?

Paraphrasing can be defined as the one where the statement or the paragraph is being changed in rephrasing the statement. The meaning will be the same but the phrasing will be changed.

Use this procedure when read to assist students in expressing their comprehension of a word literally or determining its essence. Use it to assist pupils in paraphrasing evidence for language lessons.

Ask students to read a section of text, covering it with either a palm or a bit of paper, and thereafter rephrase what the material means. One brain can now have a chance to absorb the information while you're sleeping. The text might be clearer the next morning when you read it again.

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#SPJ2

Which of these religious beliefs is most closely related.

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Please first write the full question so that you can get your answer easily.

Which statements describe iambic pentameter as it is used in shakespearean sonnets? select two options.

Answers

Answer:

Arise, fair sun, and kill the envious moon,

Who is already sick and pale with grief

That thou, her maid, art far more fair than she.

Be not her maid since she is

Explanation:

including the famous "Romeo and Juliet," "Julius Caesar

Answer:

Each line contains five metrical feet.

In a group of two syllables, the second is stressed.

Explanation:

The piecewise function f(x) has opposite expressions. F(x) = startlayout enlarged left-brace 1st row 1st column 2 x minus 1, 2nd column x less-than 0 2nd row 1st column 0, 2nd column x = 0 3rd row 1st column negative 2 x + 1, 2nd column x greater-than 0 which is the graph of f(x)?.

Answers

The piecewise expression presented in the question gives values of f(x)

that change based on the range of the input value, x.

The graph of the piecewise expression f(x) is attached

Reasons:

The given piecewise function is presented as follows;

[tex]f(x) = \begin{cases}2 \cdot x - 1, & \text{ if } x < 0 \\0, & \text{ if } x = 0\\-2 \cdot x + 1, & \text{ if } x > 0 \end{cases}[/tex]

Required:

To find the graph of f(x)

Solution:

From the piecewise function, we have;

For x < 0, f(x) = 2·x - 1

The slope, m = 2

Therefore, as x tends to 0, f(x) tends to 2×0 - 1 = -1

Therefore, for x < 0, the graph starts with an open circle at f(x) = -1, and f(x) decreases as graph moves from right to left.

At x = 0, f(x) = 0, which represent a point on the graph

For x > 0, f(x) = -2·x + 1

Which gives that as x tends to 0, f(x) tends to +1

The slope of the graph, m = -2

Therefore, the graph is a straight line that starts with an open circle at f(x) = +1 and slopes downwards from left to right.

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Answer:

C

Explanation:

took the test on edge :p

Which characteristics describe most nonmetals in the solid phase.

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Solid nonmetals are generally brittle, with little or no metallic luster. Most nonmetals have the ability to gain electrons easily. Nonmetals display a wide range of chemical properties and reactivities.

What is potentially problematic about an advertisement with this message.

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Answer:

what is the message? I don't see a pictures

All of the following changes to a metal are physical changes except.

Answers

Answer:

A. Cutting

B. Melting

C. Rusting

D.Polishing

Answer: Rusting

Explanation:

The mother of a 5-year-old informs you that her daughter cheats when playing board games. What is the best response?.

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Answer: Explain that this is developmentally normal until the child is old enough tounderstand complex game rules.

Explanation:

A theory which repeatedly fails to confirm the expected predictions after extensive research:.

Answers

A theory which repeatedly fails to confirm the expected predictions after extensive research is probably incorrect.

Answer:

..Is probably incorrect.

Explanation:

If the predictions of a long-standing theory are found to be in disagreement with new experimental results, the theory may be discarded as a correct description of the phenomena.

Hope that helps..? x

In your response, be sure to address all parts of the question. Use complete sentences; an outline or bulleted list alone is not acceptable. Use the passage to answer all parts of the question that follows. A) describe the broader historical situation in africa at the time that jean barbot wrote his book. B) explain one way in which the passage illustrates the continuing development of the atlantic in the seventeenth century. C) explain one way in which barbot’s background might have influenced his comments about the dutch and the portuguese in the second paragraph.

Answers

The broader historical situation in Africa at the time that Jean Barbot wrote his book was that it showed the colonization of Africa by European countries.

It should be noted that a way that the passage illustrated the continuing development of the Atlantic in the seventeenth century is that it showed that the development was continuous.

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Choose the right name to complete each sentence. The american inventor developed the idea of interchangeable parts.

Answers

Answer:

Eli Whitney

Explanation:

Answer:

eli whitney

Explanation:

Which are national us holidays? check all that apply.

Answers

There are different types of National holidays. The options that are National US holidays are New Year’s Day  and Veterans Day

There are lots of national holidays in America.  The United States is known to have has established using law, 12 permanent federal holidays.

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Which are national us holidays? check all that apply.

A.) New Year’s Day

B.) Valentine’s Day

C.) Veterans Day

D.) Arbor Day

E.) Mothers Day

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Highlight text that shows helen keller’s strength. Based on this passage, what full viewpoint could a prepared speaker share in a discussion? i really like helen keller’s strong writing. I think helen keller’s early outbursts were signals that she was a strong individual. I think it would be difficult to be unable to talk as a child. Helen keller failed to express herself, so she had outbursts as a child.

Answers

Answer:

B. I think Helen Keller's early outbursts were signals that she was a strong individual.

Explanation:

Answer: B is you answer

Explanation:

hope this helps

Decide if por or para should be used in the following sentence. Ella es muy extrovertida _____ una chica tímida. Por para.

Answers

The correct option is Ella es muy extrovertida para una chica tímida.

Por and para are two Spanish prepositions, but they are used differently.

When to use por?

We use por when we talk about

Why something happened To mention who did something. For example, la comida fue hecha por el John.

When do we use para?

We use para when:

We want to talk about the what.We are using adjectives to talk about someone or something and making comparisons.

In conclusion, as the sentence is talking about the characteristics of a girl and making a comparison, the correct word is para.

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Answer:

para

Explanation:

Which of the following best describes the sources that contribute.

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People are known to have online identity. What contributes best to an online identity is authentication.

Through authentication, users therefore needs registration and logging in before they can access any site.

Some websites often uses the user's IP address or tracking cookies so that they can be able to known and identify users. An online identity is different from a real-life one. This is because most Online identities are more flexible.

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When faxing sensitive compartmented information.

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In Cybersecurity, when faxing a sensitive compartmented information (SCI), the actions you should take include:

1. Mark the sensitive compartmented information (SCI) documents appropriately.

2. Use an approved sensitive compartmented information (SCI) fax machine.

A sensitive compartmented information (SCI) can be defined as a United States program that was established to segregate classified information concerning or derived from methods, analytical processes and intelligence sources, into distinctive compartments for added protection when disseminated or distributed.

Generally, the dissemination of information of all sensitive compartmented information (SCI) documents must be handled within formal access control systems and directives of the Director of National Intelligence.

Based on national intelligence, when faxing a sensitive compartmented information (SCI), the actions you should take include:

Mark the sensitive compartmented information (SCI) documents appropriately.Use an approved sensitive compartmented information (SCI) fax machine.

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as a student have you ever encountered any of these barriers

Answers

I'm not sure which barriers??.

Decide if the following sentence is grammatically correct or incorrect. Ella hablaría con su madre. Correct incorrect.

Answers

Answer:

I think it's correct

I don't know much Spanish

The decision regarding the grammar of the given sentence would be:

Correct

What is grammar?

Grammar is described as the system that offers rules to formulate a particular language(written or spoken) coherently and comprehensively.

In Spanish, the structure of a sentence comprises of "Subject + Verb + Object.'

In the given sentence, 'Ella' is the subject, 'hablaría con su" meaning 'would talk to' is the verb, and 'madre' meaning 'mother' is the object.

Thus, the above response is correct.

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You’ve dreaded it for a while, but now you feel prepared. In 30 minutes you’ll have to terminate tim, a 12-year employee who is beloved by everyone in the firm. Unfortunately, he just hasn’t performed very well since his wife died three years ago and while he was given every chance to regain his performance, he has just continued to slide. Which of the following elements of communication is least likely to influence tim’s perception of your communication effectiveness?.

Answers

Answer:

Tone of communication

Explanation:

Voice tone is really about the feeling behind what you mean. There's no shift in your voice, but the way you speak to someone. If you're angry, you might be brusque; if you're pleased, you might be delighted with your expression.

tone means everything when you speak to someone, for example you can have an angry tone with someone and they will hear and feel the anger. so when talking tone is the key perception when you are talking to someone.

Which phrase best describes the harlem renaissance?.

Answers

Answer:

The Harlem Renaissance was an intellectual and cultural revival of African American music, dance, art, fashion, literature, theater and politics centered in Harlem, Manhattan, New York City, spanning the 1920s and 1930s.

I hope this helps you !!

Expressed as a percentage, how many more avocados does the city of phoenix consume per year compared to denver? annual avocado consumption by city (in millions).

Answers

Based on the quantity of avocados consumed by both cities, the answer to this would be 60% more.

Phoenix consumes 120 million avocados and Denver consumes 75 million.

Phoenix Percentage consumption over Denver

First find the difference between the avocados consumed:

= 120 - 75

= 45 million

In percentage this is:

= Quantity difference / Denver consumption x 100%

= 45 / 75 x 100%

= 60%

In conclusion, Phoenix consumes 60% more.

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The placard pictured was issued in response to the.

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The placard attached below was drawn up and issued in response to the refugees created by the Nat Turner rebellion.

In 1831:

Enslaved Black people launched a rebellion to escape slavery. Nat Turner led the rebellion. More than 51 White people were killed in the rebellion.

As a result of this rebellion, a lot of Black people in the South were attacked by Whites and this created a refugee crisis as Black people fled. This placard was to help the refugees who had fled to Boston.

In conclusion, the placard was issued as a result of the Nat Turner rebellion.

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Why there's no place like home for the holidays commonlit answers.

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People often looks forward to holidays. Why there's no place like home for the holidays is due to different reasons such as;

Christmas rituals where everyone come together and have a nice time.The home serves as an anchor of order and comfort.The home is  safe, warm and a comforting place to be.

Why there's no place like home for the holidays  is a very significant and important text by Frank T. McAndrew. This was written in 2017 to show the significance of the home. The physical surrounding often influences a man's life.

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Although they have changed the face of farming in the usa crops are still regarded with deep.

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Countries are often involve in farming. Although they have changed the face of farming in the USA, genetically modified crops are still regarded with deep skepticism in the UK where the emphasis remains on "natural" products.

A phrase is simply known as a combination of two or more words that functions together but they do not form a clause.

An example, “genetically modified” is a phrase. Note that a phrase is never a full sentence when its own and it can only be complete when it is used in a sentence along with other words.

See full question below

Fill in the blank(s).

Use a phrase and a noun.

Although they have changed the face of farming in the USA, [blank] crops are still regarded with deep [blank] in the UK where the emphasis remains on "natural" products.

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The dewpoint is 15°c. What is the wet-bulb temperature on a sling psychrometer if the dry-bulb temperature is 18°c?.

Answers

Based on the information given, it should be noted that the wet-bulb temperature will be 16°C.

A psychrometer simply means a hygrometer that has two thermometers. In this case, one is hot while the other is moist and ventilated.

From the complete information, when the dewpoint is 15°c, the wet-bulb temperature on a sling psychrometer if the dry-bulb temperature is 18°c is 16°C.

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Evaluate the following expression when x=-4 and y=4.

Answers

Answer: The answer is C. 1025/4

Explanation:  x^6 - x

---------------

4y

Let x =-4 and y = 4

(-4)^6 - (-4)

---------------

4*4

4096 +4

------------------

16

4100/16

1025/4

What is the best definition of a total war brainly.

Answers

Answer:

A war in which a nation requires everything adult citizen to serve in the battlefield

A war which two nation choose all-out battle over talk and compromise

A war in which two nation pool their military strengths to achieve dominance

After reading this lesson, write a 125-word paragraph explaining your views about affirmative action.

Answers

It can be noted that affirmative action is important as it favors those that suffer from discrimination .

What is affirmative action?

Affirmative action simply means the set of policies within an organization that seek to include a particular group based on their race.

From the information in the lesson, it can be noted that affirmative action is important in order to enhance equality in the country. It favors those that are discriminated against in the society.

It's vital in helping minorities secure employment opportunities and get admission into schools.

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