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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 else can I help you with?
What is the advantages and disadvantages of harmonic mean?
The advantage of harmonic mean is that it is used to solve situations in which there are extreme data values to true picture. The disadvantage of it is that it can be time consuming to evaluate the data.
Is alpha the probability that the test statistic would assume a value as or more extreme than the observed value of the test?
Alpha is the probability that the test statistics would assume a value as or more extreme than the observed value of the test, BY PURE CHANCE, WHEN THE NULL HYPOTHESIS IS TRUE.
How do you compute the p-value?
The first step in calculating a p-value is to make a hypothesis of the statistical model for your study. You then assume that the hypothesis is true and calculate the probability of observing an outcome at least as extreme as the one that you did observe. This probability is the p-value.
What is the difference between probability and consequence?
Probability is the predictive chance that something will happen, such as the probability of heads coming up on a coin toss being 0.5.Consequence, on the other hand, is the result of some outcome, not necessarily related in any way to probability, but it could be. For instance, you may have a coin toss at the beginning of a football game. That is based on probability. The consequence, though, is the determination of who kicks off first.An example of non probabilistic consequence is the decision to swerve your car off of the road into a tree. The consequence of that action is that you will have a crash. Yes, its an extreme and unlikely example, but it shows that probability and consequence are two different things.
What is the probability of male child when a baby is born?
According to the American CIA, worldwide the number of boys born to the number of girls is 1.07:1, which implies a probability of about 0.517. This varies somewhat by country, for instance. At one extreme, according to the list of countries by sex ratio presented in wikipedia is Liechtenstein at 0.558, at the other Haiti at 0.503.
What does probability level mean?
The probability level for an outcome is the probability that the outcome was at least as extreme as the one that was observed.
What is the advantages and disadvantages of harmonic mean?
The advantage of harmonic mean is that it is used to solve situations in which there are extreme data values to true picture. The disadvantage of it is that it can be time consuming to evaluate the data.
What is Hypothesis Testing of p-value?
The probability of the observed value or something more extreme under the assumption that the null hypothesis is true. That is, the probability of standard scores at least as extreme as the observed test statistic.
What is particle velocity at the extreme end of vibration?
At the extreme end of vibration, the particle velocity is at its maximum value. This occurs when the particle reaches the peak amplitude and changes direction. It then slows down to a stop before moving in the opposite direction.
What does the z score of 1.3 mean?
It means that there is a probability of 0.0968 that an observation as extreme as this occurred purely by chance.
What shape would the probability distribution have for completely uncertain returns?
the variance is infinitely large and in the extreme case the probability distribution curve will simply be a horizontal line
Is alpha the probability that the test statistic would assume a value as or more extreme than the observed value of the test?
Alpha is the probability that the test statistics would assume a value as or more extreme than the observed value of the test, BY PURE CHANCE, WHEN THE NULL HYPOTHESIS IS TRUE.
When a body moves in a simple harmonic motion its acceleration at the ends of its path is?
Maximum, as it experiences a sudden change in direction at the extreme points of the motion.
What would -2 standard deviation below the mean be?
It would mean that the result was 2 standard deviations above the mean. Depending on the distribution of the variable, it may be possible to attach a probability to this, or more extreme, observations.It would mean that the result was 2 standard deviations above the mean. Depending on the distribution of the variable, it may be possible to attach a probability to this, or more extreme, observations.It would mean that the result was 2 standard deviations above the mean. Depending on the distribution of the variable, it may be possible to attach a probability to this, or more extreme, observations.It would mean that the result was 2 standard deviations above the mean. Depending on the distribution of the variable, it may be possible to attach a probability to this, or more extreme, observations.
How is the p-value used?
The probability of the observed value or something more extreme under the assumption that the null hypothesis is true.
How do you compute the p-value?
The first step in calculating a p-value is to make a hypothesis of the statistical model for your study. You then assume that the hypothesis is true and calculate the probability of observing an outcome at least as extreme as the one that you did observe. This probability is the p-value.
Advantages and disadvantages of harmonic mean?
Well, honey, the advantage of using the harmonic mean is that it gives more weight to smaller values, which can be helpful when dealing with rates or ratios. On the flip side, it can be heavily influenced by outliers, so if you've got some wild numbers in your data, the harmonic mean might not be the best choice. Just remember, there's no one-size-fits-all when it comes to statistics, so choose your mean wisely!
