Take the definite integral (and your bounds should be the two places where the curve crosses the x-axis).
To find the area under the standard normal curve between -1.33 and the mean (0), we can use the standard normal distribution table or a calculator. The area to the left of -1.33 is approximately 0.0918. Since the total area under the curve is 1 and the curve is symmetrical around the mean, the area between -1.33 and 0 is about 0.5 - 0.0918 = 0.4082. Thus, the area under the curve from -1.33 to the mean is approximately 0.4082.
Look in any standard normal distribution table; one is given in the related link. Find the area for 2.43 and 1.52; then take the area for 2.43 and subtract the area for 1.52 and that will be the answer. Therefore, .9925 - .9357 = .0568 = area under the normal distribution curve between z equals 1.52 and z equals 2.43.
In statistics you can find the area under a curve to establish what to expect between two input numbers. If there is a lot of area under the curve the graph is tall and there is a higher probability of things occurring there than when the graph is low.
Is the integral of the curve - between the two end points.
The area above a solubility curve represents supersaturated solutions, where the concentration of solute exceeds the maximum amount that can dissolve at a given temperature. In this region, excess solute may precipitate out of solution if disturbed. Conversely, the area below the curve indicates unsaturated solutions, where more solute can still dissolve.
The Normal curve is a graph of the probability density function of the standard normal distribution and, as is the case with any continuous random variable (RV), the probability that the RV takes a value in a given range is given by the integral of the function between the two limits. In other words, it is the area under the curve between those two values.
What is the area under the normal curve between z=0.0 and z=1.79?
the standard normal curve 2
To find the area under the standard normal curve between -1.33 and the mean (0), we can use the standard normal distribution table or a calculator. The area to the left of -1.33 is approximately 0.0918. Since the total area under the curve is 1 and the curve is symmetrical around the mean, the area between -1.33 and 0 is about 0.5 - 0.0918 = 0.4082. Thus, the area under the curve from -1.33 to the mean is approximately 0.4082.
The integral of the density with respect to the variable against which the density is plotted, between the values at the ends of the curve. Since there is no information given as to what the density is plotted against, a more informative answer is impossible.
What is the area under the normal curve between z equals 0.0 and z equals 2.0?
Look in any standard normal distribution table; one is given in the related link. Find the area for 2.43 and 1.52; then take the area for 2.43 and subtract the area for 1.52 and that will be the answer. Therefore, .9925 - .9357 = .0568 = area under the normal distribution curve between z equals 1.52 and z equals 2.43.
In statistics you can find the area under a curve to establish what to expect between two input numbers. If there is a lot of area under the curve the graph is tall and there is a higher probability of things occurring there than when the graph is low.
Ecologists start by constructing a species-area curve in quadrat vegetation analysis to understand the relationship between area sampled and number of species observed. This curve helps in estimating species richness and diversity in a given area, allowing ecologists to make comparisons across different habitats or study sites and provide insights into community composition and structure.
a stress strain curve and a load displacement curve is pretty much the same thing, given the data is from the same specimen. its just the stress (force/area) is divided by a constant area and the strain (change in length/original length) is divided by a constant original length. therefore your curve would pretty much look the same as dividing by a constant will not change your graph. hope this explains your question
Is the integral of the curve - between the two end points.
The area above a solubility curve represents supersaturated solutions, where the concentration of solute exceeds the maximum amount that can dissolve at a given temperature. In this region, excess solute may precipitate out of solution if disturbed. Conversely, the area below the curve indicates unsaturated solutions, where more solute can still dissolve.