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What else can I help you with?
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.
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.
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 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 the full width at half maximum (FWHM) of a Gaussian distribution and how does it impact the shape of the curve?
The full width at half maximum (FWHM) of a Gaussian distribution is the width of the curve at half of its maximum height. A smaller FWHM indicates a narrower curve, while a larger FWHM indicates a wider curve. The FWHM impacts the shape of the curve by determining how spread out or concentrated the data points are around the mean. A smaller FWHM results in a sharper peak and a more concentrated distribution, while a larger FWHM leads to a broader curve with a more spread out distribution of data points.
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 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
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
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.
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.
What is the reaction progress curve look like for a complex reaction?
For a complex reaction, the reaction progress curve may show multiple steps or intermediate products, resulting in a curve with several peaks and plateaus. The curve may not follow a simple linear path from reactants to products, but rather exhibit multiple stages of reactant consumption and product formation. The overall reaction progress curve may be more convoluted and less straightforward compared to a simple reaction.
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 the process of curving a grade and how does it impact students' final scores?
Curving a grade is when a teacher adjusts the scores of a test or assignment to create a more normal distribution of grades. This can impact students' final scores by potentially raising them if the curve results in higher grades overall. However, it can also lower scores if the curve shifts the distribution in a way that lowers the original score.
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.
