Consider the following data: x 1 2 3 4 5 P(X=x) 0.2 0.1 0.1 0.2 0.4 Step 4 of 5 : Find the value of P(X<2) . Round your answer to one decimal place.

Answers

Answer 1

Answer:

the probability that X is less than 2 is 0.3. Rounded to one decimal place, this is 0.3.

Explanation:

To find the probability that X is less than 2, we need to add the probabilities of X=1 and X=2, since both of these values are less than 2.

P(X<2) = P(X=1) + P(X=2)

= 0.2 + 0.1

= 0.3

Therefore, the probability that X is less than 2 is 0.3. Rounded to one decimal place, this is 0.3.

Answer 2

The odds of all X values less than two must be added up. P(X2)=P(X=1)+P(X=2)=0.2 + 0.1 =0.3, P(X2) is therefore equal to 0.3, rounded to the nearest decimal place.

What is the total likelihood that X exists?

Two requirements must be met for the probabilities in a random variable's probability distribution: Each probability P(x) must lie within the range of 0 and 1: 0≤P(x)≤1. P(x)=1 means that the total number of probability is 1.

To be considered valid, what must the total probability of a probability be?

All probabilities for all potential values must add up to 1. Additionally, the probability must lie between 0 and 1 for a certain value or set of values.

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Related Questions

name two examples of long term goal?​

Answers

Answer:

♥Become a better spouse or parent.

♥Complete your first marathon.

♥Create and commit to a fitness routine.

♥Learn a foreign language.

♥Cut junk food out of your diet.

♥Start volunteering regularly.

♥Increase your emotional intelligence.

♥Earn a college degree.

Answer:

1. Saving enough money to retire comfortably.

2. Starting your own business.

3. Buying a house.

4. Paying off all your debts.

5. Traveling to every continent.

6. Learning a new language fluently.

7. Running a marathon.

8. Writing a book.

9. Becoming a CEO of a company.

10. Earning a PhD.

11. Becoming a professional athlete.

12. Building a successful career in a specific field.

13. Becoming financially independent.

14. Starting a family.

15. Becoming a homeowner.

16. Becoming a public speaker.

17. Learning a new skill, such as coding or cooking.

18. Volunteering regularly for a cause you care about.

19. Becoming a mentor to others.

20. Achieving a specific level of fitness or health.

Assume that when adults with smartphones are randomly​ selected, 45​% use them in meetings or classes. If 30 adult smartphone users are randomly​ selected, find the probability that exactly 24 of them use their smartphones in meetings or classes.

Answers

This problem involves a binomial distribution with n = 30 trials and a success probability of p = 0.45 (using a smartphone in meetings or classes).

The probability of exactly k successes in n trials is given by the binomial probability formula:

P(k successes) = (n choose k) * p^k * (1 - p)^(n - k)

where (n choose k) is the binomial coefficient, equal to n! / (k! * (n - k)!).

Substituting n = 30, p = 0.45, and k = 24, we have:

P(24 out of 30 use smartphones in meetings/classes) = (30 choose 24) * (0.45)^24 * (0.55)^6

Using a calculator or software, we can evaluate this probability as:

P(24 out of 30 use smartphones in meetings/classes) ≈ 0.005

Therefore, the probability of exactly 24 out of 30 adult smartphone users using their smartphones in meetings or classes, when randomly selected, is approximately 0.005 or 0.5%.

Which one of the following is a dependent clause?
Marci graduated at the top of her class in high school
She was admitted with honors into her college degree program
Throughout her college courses, she continued to earn high grades
Because she graduated from college with honors as well

Answers

Answer:

Because she graduated from college with honors as well

Explanation:

It's because it is not a complete sentence.

In other words, this sentence is a reason, but it is not clear what is this reason for.

Hope it helps!

What is the SAT , define it

Answers

Answer: SAT stands for :Scholastic Aptitude Test: a test taken in the U.S. to measure students' abilities before they go to college

Explanation: SAT simple definition

Roger Williams was banished from the Massachusetts Bay Colony because he _____.

argued for the separation of church and state
no longer believed in God
refused to follow the Sabbath
was friendly to the Native Americans

Answers

Answer:

Explanation:

Roger Williams was banished from the Massachusetts Bay Colony because he argued for the separation of church and state. He believed that the government should not be involved in religious matters and that people should be free to worship as they please without interference from the state. This view was considered heretical by the Puritan leaders of the colony, who believed that the government had a duty to enforce religious orthodoxy. As a result, Williams was banished from the colony in 1635 and went on to found the colony of Rhode Island, which became known for its commitment to religious freedom and tolerance.

what is the message of the song the journey by lea salonga

Answers

Answer:

"The Journey" by Lea Salonga is a song about self-discovery and personal growth. The message of the song is that life is a journey that we must embrace, even when it's difficult. The lyrics encourage the listener to keep moving forward and to trust in themselves and their abilities, even when the road is uncertain.

Hope this helps!
Brainliest and a like is much appreciated!

Answer:

it is an inspirational song about staying positive even in the darkest of times, and thinking one day everything will be fine.

Explanation:

1. Respond: Would you like to travel with Gulliver? Explain
2. (a) Support: In the final paragraph of "A Voyage to Brobdingnag," how does Swift use the King's reactions to express his own hopes for humankind? (b) Assess: Do you think these hopes are valid? Wh or why not?

Answers

I would be interested in exploring different parts of the world and experiencing different cultures.

The use of reactions by Swift

Regarding the second question, in the final paragraph of "A Voyage to Brobdingnag," Swift uses the King's reactions to express his hopes for humankind.

The King expresses his disgust at the corruption and greed of the human race, and his admiration for Gulliver's honesty and simplicity. Swift's hope is that by exposing the flaws and weaknesses of humanity, we may be able to recognize and correct them.

As for the validity of these hopes, it is subjective and open to interpretation.

While some may argue that Swift's critique of humanity is overly pessimistic, others may agree with his assessment and believe that we need to address the issues he highlights.

Ultimately, whether or not these hopes are valid depends on one's perspective and beliefs about human nature.

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Noel read 90 minutes each day for 6 days. Tyra read 60 minutes each day for 8 days. What is the difference, in minutes, between the total amount of time Noel read and the total amount of time Tyra read?
*
10 points
A 30
B 40
C 60
D 80

Answers

C sixty Minutes

90×6=540

60×8=480

540-480=60

C=60

MANUAL DE LENGUA ES
5. Mediante diagramas descompón los siguientes signos lingüísticos.
Mesa- silla--- flor--- carro--- elefante---camisa--- televisión--- canasta---
Significante:
Significado:

Answers

Mesa:

Significante: M e s a

Significado: un mueble para poner cosas encima de él.

Silla:

Significante: s i l l a

Significado: un mueble para sentarse.

Flor:

Significante: f l o r

Significado: una estructura reproductiva de las plantas con pétalos y un aroma dulce.

Carro:

Significante: c a r r o

Significado: un vehículo de cuatro ruedas impulsado por un motor.

Elefante:

Significante: e l e f a n t e

Significado: un animal terrestre de gran tamaño con una trompa y grandes orejas.

Camisa:

Significante: c a m i s a

Significado: una prenda de vestir que cubre el torso y los brazos.

Televisión:

Significante: t e l e v i s i ó n

Significado: un dispositivo que muestra imágenes y sonido transmitidos por ondas electromagnéticas.

Canasta:

Significante: c a n a s t a

Significado: un recipiente tejido con asas utilizado para transportar y almacenar objetos.

The sale price of a laptop is $505.44 after 35% discount and 8% additional tax. What was the original price of the laptop before discount and tax?

Answers

Answer:

The original price of the laptop before discount and tax was $718.46.

Explanation:

Let's work backwards from the sale price to find the original price:

1. First, we need to remove the effect of the additional 8% tax.

We can do this by dividing the sale price by 1.08 (100% + 8% = 108%) :

$505.44 / 1.08 = $467.00 (rounded to the nearest cent)

2. Now we need to remove the effect of the 35% discount. We can do this by dividing the price before discount by 0.65 (100% - 35% = 65%) :

$467.00 / 0.65 = $718.46 (rounded to the nearest cent)

Construct an argument that is valid according to the pattern of modus
tollens and which has the following universal statement as its main premise: "All planets
orbit the sun.”

Answers

Answer:

Explanation:

Modus Tollens is a valid form of deductive reasoning that works by first assuming a conditional statement, and then using a negation of the consequent to prove that the antecedent must also be false.

Here's an example of an argument that is valid according to the pattern of modus tollens and uses the universal statement "All planets orbit the sun" as its main premise:

Premise 1: All planets orbit the sun.

Premise 2: Pluto does not orbit the sun.

Conclusion: Therefore, Pluto is not a planet.

In this argument, the main premise is the universal statement "All planets orbit the sun." The second premise is the negation of the consequent - that Pluto does not orbit the sun. By using modus tollens, we can logically conclude that the antecedent (that Pluto is a planet) must be false, and therefore, the conclusion is that Pluto is not a planet.

This argument is valid because it follows the structure of modus tollens, and the premises are both true. By starting with a universal statement, we can make a logical deduction based on a particular instance that contradicts the universal statement. In this case, the fact that Pluto does not orbit the sun contradicts the universal statement that all planets orbit the sun, and therefore, we can conclude that Pluto is not a planet.

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