0
Want this question answered?
Be notified when an answer is posted
Add your answer:
Earn +20 pts
Define a normal random variable?
I have included two links. A normal random variable is a random variable whose associated probability distribution is the normal probability distribution. By definition, a random variable has to have an associated distribution. The normal distribution (probability density function) is defined by a mathematical formula with a mean and standard deviation as parameters. The normal distribution is ofter called a bell-shaped curve, because of its symmetrical shape. It is not the only symmetrical distribution. The two links should provide more information beyond this simple definition.
Show that probability of finding particle in harmonic oscillator is maximum at extreme?
The particle moves much slower at the extremes than at the middle and therefore it spends more time there. Peeking randomly we can certainly expect to see it at extremes because of that. More rigorously, the derivative of the sine is the cosine. This means that the slope of the sine is +1 or -1 at the axis crossing, 0 at the peak, and between +1 and -1 everywhere in between. If you were to accumulate a distribution curve as a function of time, pigeonholing the results based on some delta y, you would see more observations at the peaks than anywhere else because, as previously stated, the particle moves slower at the peaks.
What does it mean to grade on a curve?
"Grading on a curve" refers to a method of assigning grades that achieves a predetermined statistical distribution, regardless of the absolute level of performance. "The curve" refers to the Normal Distribution curve, which is the usual distribution of test scores in practice. For example, giving the top 10% of the class A's, even if no one gets more than half of the exam credit, or failing the bottom 20% of the class, even if everyone scores above 90%. An advantage of grading on the curve is that it tends to eliminate bias in grades caused by the difficulty of the material or the quality of the instruction. It has the disadvantage that it does not reflect student mastery in absolute terms. It also discourages students from assisting each other with learning the subject.
What is a curving line called?
A curve. It may have a more specific name in some circumstances - eg a circle or a parabola.
Why it is important to determine the shape of data distribution before computing descriptive statistics?
You may be most familiar with the normal distribution (the Bell-shaped curve). The mean, mode and median of this distribution are all the same because it is symmetric. If, however, you take a sample from a distribution that is asymmetric in some way then the mean, mode and median will differ. You would need to decide which of these more effectively characterises the population. Then you would compute that descriptive statistic.
Can Lorenz curve above the diagonal?
No.The Lorenz curve measures inequality of distribution of income (or wealth). The diagonal represents a distribution that is perfectly equal and you cannot get more equal than that!
What is a Lorenz curve?
The Lorenz curve was developed by Max O. Lorenz. The Lorenz curve is a visual representation in economics which displays the income distribution of a nation graphically. On the y-axis, you have income distribution (either as a percentage, or in decimal form); on the x-axis, there is population distribution of total wealth. There is an upward sloping, 45 degree reference line that shows perfectly equal distribution of wealth (i.e 25% of the lowest income earners have 25% of the nation's income). From the Lorenz curve, you can calculate the Gini coefficient; the closer the coefficient is to zero, the more distributed the income of a nation is.
What does Disparity of Income Distribution mean?
it means distribution of income is how a nation's total economy is distributed amongst its population. Classical economists are more concerned about factor income distribution,that is the distribution of income between the factors of production,labor land and capital. Distribution of income is measured by Lorenz curve and Gini co
What is a Lorenz?
The Lorenz curve was developed by Max O. Lorenz. The Lorenz curve is a visual representation in economics which displays the income distribution of a nation graphically. On the y-axis, you have income distribution (either as a percentage, or in decimal form); on the x-axis, there is population distribution of total wealth. There is an upward sloping, 45 degree reference line that shows perfectly equal distribution of wealth (i.e 25% of the lowest income earners have 25% of the nation's income). From the Lorenz curve, you can calculate the Gini coefficient; the closer the coefficient is to zero, the more distributed the income of a nation is.
What water is in a container the surface of water is curved's curve is called the?
The meniscus - the upward curve of a liquid in a narrow vessel.Read more: When_water_is_ina_container_the_surface_of_the_water_is_curved_this_curve_is_called
Define a normal random variable?
I have included two links. A normal random variable is a random variable whose associated probability distribution is the normal probability distribution. By definition, a random variable has to have an associated distribution. The normal distribution (probability density function) is defined by a mathematical formula with a mean and standard deviation as parameters. The normal distribution is ofter called a bell-shaped curve, because of its symmetrical shape. It is not the only symmetrical distribution. The two links should provide more information beyond this simple definition.
When water is in a container the surface of the water is curved what's the curve called?
The meniscus - the upward curve of a liquid in a narrow vessel.Read more: When_water_is_ina_container_the_surface_of_the_water_is_curved_this_curve_is_called
How many people are 6 feet 10 inches tall?
There is a Bell Curve Which Gives the Population distribution based on there height The belief is that The taller you are the more rare you are
Show that probability of finding particle in harmonic oscillator is maximum at extreme?
The particle moves much slower at the extremes than at the middle and therefore it spends more time there. Peeking randomly we can certainly expect to see it at extremes because of that. More rigorously, the derivative of the sine is the cosine. This means that the slope of the sine is +1 or -1 at the axis crossing, 0 at the peak, and between +1 and -1 everywhere in between. If you were to accumulate a distribution curve as a function of time, pigeonholing the results based on some delta y, you would see more observations at the peaks than anywhere else because, as previously stated, the particle moves slower at the peaks.
What does it mean to grade on a curve?
"Grading on a curve" refers to a method of assigning grades that achieves a predetermined statistical distribution, regardless of the absolute level of performance. "The curve" refers to the Normal Distribution curve, which is the usual distribution of test scores in practice. For example, giving the top 10% of the class A's, even if no one gets more than half of the exam credit, or failing the bottom 20% of the class, even if everyone scores above 90%. An advantage of grading on the curve is that it tends to eliminate bias in grades caused by the difficulty of the material or the quality of the instruction. It has the disadvantage that it does not reflect student mastery in absolute terms. It also discourages students from assisting each other with learning the subject.
When water is in a container the surface of the water is curved this curve is called?
The meniscus - the upward curve of a liquid in a narrow vessel.Read more: When_water_is_ina_container_the_surface_of_the_water_is_curved_this_curve_is_called
Why is average called the measure of central tendency?
Because, whatever the underlying distribution, as more and more samples are taken from ANY population, the average of those samples will have a standard normal distribution whose mean will be their average. The normal (or Gaussian) distribution is symmetric and so its mean lies at the centre of the probability distribution.
