Given that the P(A) = .3, P(B) = .5 and P(AnB) = .25, decide if the
events are independent? Justify your answer.

Answers

Answer 1

Answer:

A and B are not independent

Explanation:

Given

[tex]P(A) = .3,[/tex]

[tex]P(B) = .5[/tex]

[tex]P(A\ n\ B) = .25[/tex]

Required

Determine if A and B are independent

If A and B are independent, then:

[tex]P(A\ n\ B) = P(A) * P(B)[/tex]

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

[tex]P(A\ n\ B) = .3 * .5[/tex]

[tex]P(A\ n\ B) = .15[/tex]

The calculated value of P(A n B) and the given value of P(A n B) are not equal.

i.e.

[tex].15 \ne .25[/tex]

Hence, A and B are not independent


Related Questions

If a star that was 120 light years away from Earth exploded on the day you were born, would you be able to witness the event in your lifetime? Why or why not?

Answers

no, unless you live to be freakishly old. the light would take 120 years to reach your eyes, and even then, you would be seeing what happened 120 years ago.

In many parts of the United States, homeowners use a significant portion of their energy budget to heat their home in the winter. It has been determined that lowering a thermostat by 3 degrees F in the winter can reduce the energy costs by about 10 percent in many homes. An individual homeowner lowers their thermostat by 3 degrees exactly halfway through the billing period. For the month that the thermostat was lowered, the heating bill was $95. How much money did the family save in the month in which they lowered the thermostat setting halfway through the billing period?
A. $2.85
B. $5
C. $9.50
D. $10

Answers

Answer:

B. $5

Explanation:

$95/10 percent = 9.5

9.5/2 (because it is halfway through the billing period) = 4.75

4.75 rounded up to the nearest tenths place is 5.

Please help this is due tn and i don’t really get what’s it’s asking if u could just tell me the answers please

Answers

Answer:

try asking your teacher

Information is relayed to the spinal cord or the brain by

A
afferent neurons
B
Schwann cells
с
T cells
D
efferent neurons
E
neuroglia

Answers

Answer:

I don’t kno what the answers is that’s why I’m here

Explanation:

Information is relayed to the spinal cord or the brain by afferent neurons. The correct option is A.

What is central nervous system?

The brain and spinal cord comprise the central nervous system: the brain regulates how we think, learn, move, and feel.

The spinal cord relays messages from the brain to the nerves that traverse the body.

The central nervous system is the computation center of the body. The brain is in charge of the majority of the body's functions, including awareness, movement, thinking, speech, and the five senses of seeing, hearing, feeling, tasting, and smelling.

Afferent neurons carry sensory information from the skin and other organs to the central nervous system (brain and spinal cord).

Whereas efferent neurons carry motor information away from the central nervous system to the body's muscles and glands.

Thus, the correct option is A.

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Half of the trees of a small forest become infected with the western pine bark beetle. Which of the following is the best solution to save the forest?
Clear-cutting
Reforestation
Removing infected trees
Prescribed burn

Answers

The best solution to save the forest is removing infected trees. They can infect healthy trees.

In a forest, infected trees represent a subject of concern because diseases may eventually propagate to others trees.

There are many different types of treatments in order to eliminate infections in trees (e.g., use insecticides).

In case of local infection, it is also possible to prune infected branches to eliminate the pathogen that is causing infection.

Learn more about tree diseases here:

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Describe what projective tests are, and then explain how projection is used in the thematic apperception test (TAT) and the Rorschach inkblot test. How effective are these tests?

Answers

Answer:

Projective tests are a type of personality test that is designed to have a person react to ambiguous stimuli to potentially reveal hidden emotions that are projected onto the test. In the Rorschach Inkblot Test a person is shown a series of ten black and white cards and asked to report the first thing that comes to mind. The participant then says what came to mind and may project some emotions onto the inkblot that were previous unmentioned. The person administering the test then records aspects of their reactions like gestures and tone of voice. In a thematic apperception test or TAT a person is shown an ambiguous scene and asked to create a story around it. The person can then reveal emotions that they did not previous mention in the story by stating how the characters feel and how the story ends. In a projective test a lot is up for interpretation based on the individual and how they are feeling at that time making the test lack both reliability and validity because of no grading scale being set in stone and results being inconsistent.

Explanation:

I just did this on edge. Brainliest?

PLEASE ANSWER DUE TODAY!!!!!
6.B:Compare processes by which state power shifted in various parts of the world from 1750 to 1900.

Answers

Answer:

Hope this helps

Explanation:

The United States gained both political and economic power in the global stage between 1750 to 1900, as many European nations gain new territories to add to their empire. Many nations that Europeans colonized became weakened and poor during this time period.

Imperialism is the process by which one country extends its power and influence over another country, mainly through colonization and military conquests.

The periods between 1750 and 190 was the period which was known as the Age of Imperialism where European superpowers claimed lands belonging to weaker nations and colonising them.

During this period, we can see that there wa the Scramble for Africa after the Berlin conference with Otto Von Bismarck and other Europeans as they came to Africa to colonise and it did not stop there, as they also went to Asia.

Read more about Imperialism here:

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Requirements to receive USDA certification for organic agriculture include
which of the following?
1. Only diseased animals are allowed antibiotics.
II. All animals must have enough space to behave naturally.
III. No animals can be exposed to artificial hormones or pesticides.
A. I, II, and III
B. II and III only
C. III only
D. I and III only

Answers

Answer: B. II and III only

Explanation: I took the test

Requirements to receive USDA certification for organic agriculture include only diseased animals are allowed antibiotics and no animals can be exposed to artificial hormones or pesticides. Thus, option D is correct.

What is USDA serving standards?

The USDA serving standards are the reference amounts of food and drink that are used to provide information about the nutritional content of foods. These standards are based on the amounts of food and drink that people are physically able to consume in one sitting and are intended to be used as a reference for planning and documenting the nutritional intake of individuals and groups.

The USDA serving standards are established by the United States Department of Agriculture (USDA) and are used in the nutrition labeling of foods. They are intended to help people make informed choices about the foods they eat and to encourage the consumption of a healthy and balanced diet.

Thus, option D is correct.

Learn more about USDA, here:

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for anyone who's taken the class or is in the class currently is Ap lang or Ap lit hard?i wanna take the class next year

Answers

Answer:

Yes and No

Explanation:

It really depends on you. Some people will find it easy and others will find it harder!

1.50x - 7.55 = -15.05 what is the answer

Answers

=−5 is the solution
The answer is -7.5/1.50
The simplified answer is x = -5

20 POINT'S PLS ONLY HAVE 45 MINS!!!!!!!
Potatoes were originally domesticated in the Andean Highlands and are now grown commercially in many parts of the world.
A) Describe TWO differences between the methods of potato production shown in image 1 and image 2
B) Explain the process by which the potato diffused from its hearth of domestication to other continents
C) Explain how the agricultural practice shown in image 2 may affect local environmental sustainability
D) Explain the degree to which the practice of monocropping may lead to local food insecurity
E) Explain how potato farming may help small family farms in developing countries transition out of subsistence farming

Answers

A)

Image 1 shows traditional farming methods for potatoes, likely in the Andean Highlands. The plot is small and the potatoes are grown in individual holes or furrows. The soil appears to be dug by hand or with simple tools. In contrast, image 2 shows modern commercial potato farming methods, likely in a developed country. The plot is large and the potatoes are grown in neat rows using machinery. The soil is likely prepared with industrial equipment.

B)

The potato was first domesticated in the Andean Highlands of South America over 7,000 years ago. From there, it diffused to other parts of the Americas and eventually to Europe after Spanish explorers brought it back with them in the 16th century. It then spread to other continents through trade, colonialism, and immigration. The potato's ability to thrive in diverse climates and soils made it an important crop in many regions, and its high yields and nutritional value helped to sustain growing populations.

C)

The agricultural practice shown in image 2, monocropping, may negatively affect local environmental sustainability. Monocropping involves planting a single crop in a large area, which can deplete the soil of nutrients and increase the risk of pests and diseases. This can lead to the use of pesticides and fertilizers, which can have negative environmental impacts. Additionally, monocropping can reduce biodiversity and harm ecosystems by replacing natural habitats with monoculture fields.

D)

The practice of monocropping can lead to local food insecurity if the crop fails or is affected by pests or diseases. Since monocropping involves planting a single crop in a large area, a pest or disease outbreak can quickly spread and destroy the entire crop. This can lead to food shortages and price spikes, making it difficult for people in the area to access enough food. Additionally, monocropping can lead to a loss of traditional crops and farming practices, which can further reduce food security by limiting the diversity of available crops.

E)

Potato farming may help small family farms in developing countries transition out of subsistence farming by providing a reliable source of income and food. Since potatoes are a high-yield crop that can thrive in diverse climates and soils, they can be a valuable cash crop for farmers. By selling their potatoes, farmers can earn income that they can use to invest in their farms, purchase equipment or other supplies, or pay for education or healthcare. Additionally, potatoes are a nutritious food that can help to improve the health and well-being of farming families and their communities.

In an effort to balance free speech rights with the need to create safe learning environments for a diverse group of students, some public universities have established free speech zones on their campuses. Within the zones students are permitted to protest, post signs, and engage freely in the expression of their opinions. Outside the zones, however, students are expected to avoid speech that could be seen as offensive or obscene. Many have criticized these zones for limiting free speech and have called into question the constitutionality of designated zones for free speech.

Develop an argument either for or against the use of free speech zones on public college campuses.

Use at least one piece of evidence from one of the following foundational documents:

The First Amendment

The Declaration of Independence

In your essay, you must:

✓ Respond to the prompt with a defensible claim or thesis that establishes a line of reasoning.

✓ Support your claim with at least TWO pieces of specific and relevant evidence.

One piece of evidence must come from one of the foundational documents listed above.

A second piece of evidence can come from any other foundational document not used as your first piece of evidence, or it may be from your knowledge of course concepts.

✓ Use reasoning to explain why your evidence supports your claim/thesis.

Answers

The question above wants to analyze your ability to argue. In this case, it's not correct for me to write this essay for you, but I'll show you how to write it.

First, you must know that an argument is an opinion, supported by data, that you defend in a text or speech. An argumentative essay, in turn, is a text where you expose these arguments and the data that proves them.

Therefore, to write your essay you should search for articles that assess what freedom of expression within the country is and through these articles decide whether the protest zone that the school has created is aligned or misaligned with that freedom.

After performing your research, you can write your essay as follows:

Introduction: Present the subject of the essay and the thesis statement that is your main opinion on the subject.

Body: Write two paragraphs. In the first one, you will show arguments complementary to your thesis statement and evidence, which are the data, that prove all these arguments. In the following, you will present an argument contrary to yours and show the evidence to show that this counterargument is incorrect.

Conclusion: Summarize all of your arguments, fortify your thesis statement, and share any final thoughts you have on the subject.

More information on writing an essay at the link:

https://brainly.com/question/683722

100 points what is a cool meaning for a race team the the initials are DTR

Answers

Answer:

Explanation

Explanation:

Answer:

Dominant Track Racers

Explanation:

Is this for NitroType? If so, friend me!

h ttps://w ww.nitrotype.c om/racer/817fc865f3717b080851b273d89ac872

(get rid of the space)

Consider the map of Nigeria above. Discuss one advantage if it were ruled by a federal government

Answers

Answer:

Explanation:

A department store sells a pair of shoes with an 87% markup. If the store sells the shoes for $192.61 then what is their non-markup price? What is 2/7 as a percent?

Answers

I dont knw bro this is buggin me tooo lol

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