1. Define “continuous probability distribution” and cite at least 5 types.

2. Define expected value and variance of a continuous random variable.

3. Describe normal distribution and the process of solving probability problems involving normal distribution.

4. Explain normal approximation to binomial distribution and how it is used in solving probability problems.​

Answers

Answer 1

Continuous variables are variables such as time, pressure, height, length, temperature and weight

The responses are;

1. Continuous probability distribution is a distribution in which the values of

the random variable X is not limited to certain values, and therefore the

values are not countable

Five types of continuous random variable are;

Normal distributionStudent t-distributionChi-square distributionF-distributionChi-square distribution

Others include

Gamma distributionBeta distributionCauchy distribution

2. The expected value of a continuous random variable, X, is defined as follows;

[tex]\displaystyle The \ expected \ value, \ E[X] = \int\limits^{\infty}_{-\infty} {x \cdot f(x)} \, dx[/tex]

3. The normal distribution the usual distribution used for variables that are

randomly generated and independent. It is a continuous probability

distribution also referred to as Gaussian distribution

The shape of the graph the normal distribution is bell shaped with the

maximum point being the average or mean value, while the standard

deviation gives the dispersion from the mean

The process of solving probability problems involving normal distributions

includes;

Define the value of the probability required in the following form;      p(x < a), p(x > b), p(a < x < b)

The z-score of a, (and b) is then determined as follows;

[tex]Z=\dfrac{a-\mu }{\sigma }[/tex], and/or [tex]Z=\dfrac{b-\mu }{\sigma }[/tex]From the z-score obtained above, the value of the probability p(x < a), can be obtained from the Z-tableThe value of p(x > a) = 1 - p(x < a)The value of p(a < x < b) is the difference between p(x < a) and p(x > b), the larger first, to get a positive value

4. The normal approximation to the binomial distribution is the use of the

normal (continuous) distribution to approximate the binomial (discrete)

distribution

Using the approximation, we have;

The mean = n·p

The standard deviation, [tex]\sigma = \sqrt{(n \cdot p \cdot (1 - p))}[/tex]

Where;

n = The sample size;

p = The probability value given

With the calculated mean and standard deviation, the z-score and

probability p(x < a), can be found for a particular value, a, using the steps

for solving probability problems involving normal distribution

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Related Questions

why is it important to push a dolly instead of pulling it?

Answers

The reason why it is important to push a dolly instead of pulling it is because;

pushing of the dolly means that the force you apply to the heavy object would be acting in an opposite direction to the force of gravity whereas pulling it will mean the heavy object will be acting in the direction of gravity and as such the object can fall on you.

Dollies are equipment's that are used to move heavy objects around.

Now, when making use of a dolly by pushing, you have to make the dolly lean in such a way that the only part that is in contact with the ground is the tires in order for the dolly to move.

However, when you pull a dolly, you are pulling it in the direction that gravity is acting and so balancing a heavy object and then pulling it towards yourself in the direction it wants to fall will just be improper as it will fall on you in no time.  

In conclusion, pushing of the dolly means that the force you apply to the heavy object would be acting in an opposite direction to the force of gravity and as such the heavy object can't fall on you like that.

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A weather map of the United notes. The following are shown on the map: major cities with high and low temperatures; high and low pressure systems; types of precipitation, fronts.
Identify information from a weather service map that is missing from this newspaper weather map. Select two options.

isobars
isotherms
fronts
temperatures
high and low pressure areas
areas of precipitation

Answers

Answer:

a and b

Explanation: just did it

Answer:

correct

Explanation:

Individual/organizations who are responsible for monitoring, verifying, and sometimes certifying various aspects of the construction process including verifying that the regulations are being followed. These individuals are usually independent of the General Contractor.

Answers

The project or the site manager is responsible for monitoring or verifying the aspects of the construction process.

The site or the project manager is the individual that is responsible for the adherence to quality and guidance on the construction site.

The site or project manager has the following tasks

ensuring safety on the siteMonitoring the progress or the work that is being doneSourcing materialsSolving problems

In conclusion, the project manager monitors and verifies aspects of the construction process.

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Select the correct answer
Which raw material would allow for the mass production of cheap, disposable camera bodies?
A.
aluminum
B
ceramic
C.
thermoplastic
D.
thermosetting plastic
Help plz!!!

Answers

Answer:

thermoplastic

Explanation:

because thermo plastic is cheap disbosible camra bodies

The correct answer is C. Thermoplastic


Hope this helps!

Select the correct answer. Which physical quantity measures the rate at which an object’s velocity changes?

A. force

B. speed

C. acceleration

D. torque

Answers

Answer:

I think answer is Force.

Answer:

answer is C

Explanation:

just did the work

Powder actuated tools have the power of a
dangerous.
and can be very?

Answers

Answer:

Powder-actuated tools drive studs by power from an explosive charge. Their operation is similar to a firearm and they can be just as dangerous if used carelessly. You also could be risking your life and the lives of others if you attempt to use this tool without proper instruction.

Explanation:

Hope This Helps!

2. A used car needs a wheel alignment. Which --
technician would usually complete this operation?
(A) Engine technician.
B) Steering and suspension technician.
(C) Wheel technician.
(D) Brake technician.

Answers

Answer:

B

Explanation:

This is because that steering and suspension technician has a prior knowledge of stunting when driving and know s the surface to volume ratio of the car

How did the engineers plan and carry out investigations so they were experiencing the same conditions the astronauts were facing?

Answers

Answer: Apollo 13 was the seventh mission in the Apollo space program by the united states with a crew onboard and the third meant to land on the Moon. The craft was launched from Kennedy Space Center on April 11, 1970, but the landing on moon was aborted

Explanation:

qué pasaría si todas las personas en este país tuvieran derechos pero no obligaciones?

Answers

No podríamos ser ordenados

Answer:

el país se volvería corrupto

Explanation:

in which year did the industrial revolution begin in england with the invention of the steam engine?

Answers

Answer:

1698

Explanation:

The year the industrial revolution begin in England with the invention of the steam engine was 1760.

The Invention of steam engine in England.

James Watt, another Scottish engineer, played a crucial role in improving the efficiency of the steam engine. In the late 18th century, Watt made significant modifications to the design, including the addition of a separate condenser and a governor to regulate steam flow. These improvements made the steam engine much more efficient and practical for a wide range of applications beyond mining, such as powering factories and locomotives.

Watt's improvements, combined with subsequent innovations by other engineers, helped usher in the Industrial Revolution, which transformed England and eventually the world. The steam engine became a fundamental technology for powering machinery, revolutionizing transportation, and driving economic growth.

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Bree is on step 6 of a lab with 7 steps and is a little confused by the wording in the instructions. What should she do?
PLS HELP ME!!

Answers

Answer:

okay i think she can analysis the words and take her time to know what it means

which symbol would alert you that the air pressure in a tire is outside the manufacturer recommend psi?

Answers

Answer:

Explanation:

J is between H and K. If HJ=6x-5, JK=4x-6 and KH= 129, find the value of HJ

The sign that shows that the air pressure is outside the manufacturer recommend psi is a cup with an exclamation mark.

What is a tire?

A tire is a device that serves the purpose of moving an automobile. It serves as the legs of a vehicle. A tire is always filled with air and the air pressure must always be within the manufacturer recommend psi.

The sign that shows that the air pressure is outside the manufacturer recommend psi is a cup with an exclamation mark.

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one coil is placed on top of another. the bottom coil is connected in series to a battery and a switch. with the switch closed, there is a clockwise current in the bottom coil. when the switch is opened, the current in the bottom coil decreases abruptly to zero. what is the direction of the induced current in the top coil, as seen from above while the current in the bottom coil decreases?

Answers

Answer:

eeue ejenhelp

Explanation:hddund ddn help

What is placed as the first step in the scientific method?

Answers

Make objective observations.

Whenever scientists do any study they first observe the thing.We can have the example of coronavirus, The scientists first observed the virus then they might of done some changes in the virus.

interstate highways are identified on signs with what kind of shape?

Answers

Answer:

Interstate signs are a shield shape, with the word “Interstate” on the top of them. This sign is found at large intersections and may be accompanied by arrows or the direction. White numbers on a blued background and a red line along the top.

The material that is used to make the helmets and hand shields must be an:

Answers

Ans: Helmets and hand shields shall be made of a material which is an insulator for heat and electricity. Helmets, shields and goggles shall be not readily flammable and shall be capable of withstanding sterilization.

The material that is used to make the helmets and hand shields must be an insulator. The correct option is b.

What is an insulator?

An insulator is any substance that prevents energy—such as electricity, heat, or cold—from moving through it easily. Good insulators include glass, plastic, rubber, and wood.

Insulators are substances that prevent electricity from passing through them. Insulators are employed as a defence against the potentially harmful effects of electricity because they oppose electric current. Glass, air, wood, plastic, and rubber are a few examples of insulators.

A material that is an insulator for heat and electricity must be used to make helmets and hand shields. Helmets, shields, and eye protection must not easily catch fire and be sterile-resistant.

Thus, the correct option is b.

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Your question seems incomplete, the missing options are:

- Conductor

- Insulator

- Both a and b

What would the circuit resistance be if a 7.5 Amp draw was present with the engine running and the charging system producing 15 Volts

Answers

The answer to the question is 2 Ohms.

What do safegaurding devices do to protect the worker

Answers

Ans: Guards provide physical barriers that prevent access to dangerous areas. Safeguarding devices either prevent or detect operator contact with the point of operation or stop potentially hazardous machine motion if any part of a worker's body is within the hazardous portion of the machine.

Which image represents a disadvantage of living near the sea?

Three men carrying nets into the sea.

An outrigger sitting on the sand.

A house that has collapsed into the sea.

Answers

Answer:

Hey mate....

Explanation:

This is ur answer....

• A house that has collapsed into the sea.

(Because this is the only sentence that sounds DANGEROUS!)

Hope it helps!

Brainliest pls!

Follow me! ◇

Answer: C) A house that has collapsed into the sea.

Explanation:

A device that transforms electrical energy to mechanical:

Answers

Answer:

electric motor

*** brainly if possible

Explanation:

which of the following companies is the easiest type to set up​

Answers

Answer:

gogle    hi

Explanation:

Physical properties of minerals

Answers

Most minerals can be characterized and classified by their unique physical properties: hardness, luster, color, streak, specific gravity, cleavage, fracture, and tenacity.

- BRAINLIEST answerer ❤️

All minerals can be characterized and classified by their unique physical properties: hardness, luster, color, streak, specific gravity, cleavage, fracture, and tenacity.

What is the general equation for calculating sensible heat change of fluids?​

Answers

Answer:

The phase shift between the solid, liquid and gas is relevant to the latent heat. The sensible heat formula is used to calculate the flow of air in the electric furnace. The sensible heat formula with a change in temperature is expressed as Q sensible= 1.10 x cfm x (to – ti)

Explanation:

What’s the most important benefit of maintaining a neutral posture

Answers

Neutral posture is essential for optimal wellbeing and functioning of the body. Holding the weight of the body The most important function of a neutral posture is to maintain the body in an upright position, supporting the body against gravity

electricity causes what percent of deaths in the workplace

Answers

Explanation:

Contact with / exposure to electric current accounted for 3% of all fatalities in 2019, maintaining the same percentage as in 2018. Electrical fatality rates were 0.11 fatalities per 100,000 workers, the rate for all fatalities was 3.6 per 100,000 workers in 2019.

3% of the workplace deaths in workplaces cause that amount
Of deaths from electricity. Not as common!

PLEASE FIX THIS LUA SCRIPT

Answers

Answer:

When declaring variables, you said “workspace.MeanEnemy”. What you should have done was “game.Workspace.MeanEnemy”. Same for the variable right under it. Other than that, seems to be all good!

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¿Qué impactos genera el proceso de la transformación de la caña de azúcar en diversos productos tales como azúcar, alcohol, alimentación animal entre otros?

Answers

Answer: The environmental impacts of agricultural activities are, in general, slight, quite dependent on little controllable factors (rains, temperatures, ...

Explanation:

There are three different types of slings. What determines which type you use?
Select the 2 answer options that apply.


The type of load


Environmental factors


The type of crane

Answers

Answer:

I think answer is The type of load, Environment factors

Your muscles and myofascial slings are made up of many soft tissue types, such as ligaments, fascia, and muscles, which are related to one another to give stability and mobility. Thus option A,B is correct.

What are the different types of slings?

Chain slings, wire rope slings, and polyester slings are the three primary categories of lifting slings that you can select from. To find out which lifting sling will work with your lifting equipment, scroll down to view their differences.

An injured body part can be supported and immobilized with the help of a sling. Various wounds can be treated with slings.They are most frequently applied to arms, elbows, and shoulders that have been broken (fractured) or dislocated.

Therefore, When muscles contract, these components work together to move the body.

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In case of Raymond pile

A. lengths vary from 6 m to 12 m
B. diameter of top of piles varies from 40 cm to 60 cm
C. diameter of pile at bottom varies from 20 cm to 28 cm
D. thickness of outer shell depends upon pile diameter
E. all the above.

Answers

Answer:

E. all the above.

Explanation:

all of the above:) its E.

in alternating current, how often does the current alternate between negative and positive?

Answers

Answer:

AC voltages alternate/cycle, at a rate of 60 times each second.

In an alternating current (AC) circuit the two poles alternate between negative and positive and the direction of the current (electron flow) reverses periodically.
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