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What is an equation to show the sum of all the probablilites is equal to 1?
The equation is Integral of p(x), where p(x) is the probability distribution function, and x ranges over its whole domain. For a discrete variable, the integral would be replaced by summation.
For a continuous random variable the probability that the value of x is greater than a given constant is?
The integral of the density function from the given point upwards.
What is the difference between sigma and integral?
Sigma is a discrete sum, a sum with steps. Eg. add the numbers from 1 to 10 or add the numbers 1/2, 1/4,... A sigma always has a concept of a next thing to add, even if the list of things goes on forever. An integral is a continuous summation. It is a summation in that we are adding up the area under the curve, for example, but it is continuous in that because we are adding things of arbitrary smallness it's not really possible to always point to the individual terms that are being added because they become some kind of continuous blur. Instead we use some mathematical technique (integration). But still it is a kind of summation.
What do you do if a particular integral you want to evaluate is not listed in the table?
Two main options.Carry out numerical integration - there are various methods - the trapezium method being one of the simpler ones; orfind two integrable functions such that one is greater than the given function and the other is smaller than it. Then your integral will lie between the integrals of these two functions.
What is process of summation?
A summation is a recap of all the highlights of a presentation.
What is the bigger number 2.5 or 2.44?
The integral part is the same, in the first decimal, 5 is greater than 4. Therefore, 2.5 is the greater number.The integral part is the same, in the first decimal, 5 is greater than 4. Therefore, 2.5 is the greater number.The integral part is the same, in the first decimal, 5 is greater than 4. Therefore, 2.5 is the greater number.The integral part is the same, in the first decimal, 5 is greater than 4. Therefore, 2.5 is the greater number.
What number is a power of 2 greater than 4?
8 is the smallest INTEGRAL power of 2 which is greater than 4.
Are summation and integration are same?
Integration uses a summation in the definition of the definite integral, so they are not the same, but they are related. They both yield a type of sum, or area (in the case of integration).
What happens to the strength of contraction during wave summation?
It increases about to about four times greater than a normal contraction for skeletal muscle.
What is difference bw integral and sigma?
summation is the discreet set of whole numbers whereas integration is the sum of all numbers.
What is difference between derivative and summation?
derivative means dividing any thing into various small parts, while summation or integral means adding up various small parts to form a single entity.
What is an equation to show the sum of all the probablilites is equal to 1?
The equation is Integral of p(x), where p(x) is the probability distribution function, and x ranges over its whole domain. For a discrete variable, the integral would be replaced by summation.
For a continuous random variable the probability that the value of x is greater than a given constant is?
The integral of the density function from the given point upwards.
How do you replace the summation sign with integration sign?
In order to replace the summation sign with the sign for an integral, one must focus on the object one wants to integrate, and it's environment. To simplify, one can say the the object one wants to integrate has a domain D1 in 2 or 3 space. The remainder, the environment, is all that we do not wish to integrate, which we can label D2. So thusly we create a rule saying that we will sum only over D1. This eliminates the environment, and will isolate the object. From this point, we then break down the object into sub-rectangles (most commonly in mathematics) and assign each subrectangle it's own set of coordinates. Thusly we can take coordinates from the lower right, upper right, lower left, and upper left corners of each subrectangle. Choose a system of orientation, if we choose lower-left, we will underestimate the summation, and if we choose upper right, we will over-estimate the summation. From this point we can say that the summation of the object is equal to the summation of all it's parts. A transative derrivation (property). So, we can say that the summation of D1 is therefore equal to the summation of each subrectangle and it's coordinates: R1[x, y] +R2[x, y] + ... etc.. An integral is the sum of parts over a defined area. So we can conclude that the summation of D1 is therefore equal to the integral of the subrectangles R within the domains of x and y according to the orientation of lower right corner or otherwise established. That's it in a nutshell, I suppose... lukeriverplate
What is the difference between sigma and integral?
Sigma is a discrete sum, a sum with steps. Eg. add the numbers from 1 to 10 or add the numbers 1/2, 1/4,... A sigma always has a concept of a next thing to add, even if the list of things goes on forever. An integral is a continuous summation. It is a summation in that we are adding up the area under the curve, for example, but it is continuous in that because we are adding things of arbitrary smallness it's not really possible to always point to the individual terms that are being added because they become some kind of continuous blur. Instead we use some mathematical technique (integration). But still it is a kind of summation.
What number is greater than 900 but smaller than 1000 when squared?
The only integer with this property is 31. There are infinitely and uncountably many such non-integral numbers, within the open interval between 30 and 31.6.
What do you do if a particular integral you want to evaluate is not listed in the table?
Two main options.Carry out numerical integration - there are various methods - the trapezium method being one of the simpler ones; orfind two integrable functions such that one is greater than the given function and the other is smaller than it. Then your integral will lie between the integrals of these two functions.
