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Can you use the normal distribution to approximate the binomial distribution. Give reason?
Wiki User
∙ 13y ago
Yes, and the justification comes from the Central Limit Theorem.
Wiki User
∙ 13y ago
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State the main reason for using the empirical rule rather than chebyshevs theorem?
The empirical rule can only be used for a normal distribution, so I will assume you are referring to a normal distribution. Chebyshev's theorem can be used for any distribution. The empirical rule is more accurate than Chebyshev's theorem for a normal distribution. For 2 standard deviations (sd) from the mean, the empirical rule says 95% of the data are within that, and Chebyshev's theorem says 1 - 1/2^2 = 1 - 1/4 = 3/4 or 75% of the data are within that. From the standard normal distribution chart, the answer for 2 sd from the mean is 95.44% So, as you can see the empirical rule is more accurate.
Why is central limit theorem important?
The central limit theorem is one of two fundamental theories of probability. It's very important because its the reason a great number of statistical procedures work. The theorem states the distribution of an average has the tendency to be normal, even when it turns out that the distribution from which the average is calculated is definitely non-normal.
What is the purpose of a stem and leaf plot?
to simply organise your numbers.ajm If you can make a histogram, a dotplot, or even a boxplot; there is no reason to do a steam and leaf plot. It's the worst graph. With a stem and leaf graph, you can see the distribution of data points, and determine whether it's normal distribution or not. As mentioned above, there are better graphs for doing that, though.
What is the important reason for know the approximate difference between gross pay and net pay?
The difference isn't approximate. Gross pay is how much in total you have been paid. Net pay is the amount of money you have left after spending it. So for example, Your Gross pay each year is $200,000 but after taxes, bills, fun, and luxuries your net pay is $12,000 a year.
How many 24 inch x 48 inch pieces can you get out of a 4 feet x 8 feet sheet?
4 sheets approximately 24 inches by 48 inches can be made from a 4 foot by 8 foot piece of plywood. The reason it is approximate is the kerf of the saw blade takes up about 1/16 of an inch.
Why does the statistics probably fit a bell curve?
Approximately normal distributions occur in many situations, as explained by the central limit theorem. When there is reason to suspect the presence of a large number of small effects acting additively and independently, it is reasonable to assume that observations will be normal. Reference Wikipedia on Normal Distribution. See related link. Examples of bell shaped curves are t-distribution and normal distribution. There is little difference between the two curves when the sample size is greater than 30.
State the main reason for using the empirical rule rather than chebyshevs theorem?
The empirical rule can only be used for a normal distribution, so I will assume you are referring to a normal distribution. Chebyshev's theorem can be used for any distribution. The empirical rule is more accurate than Chebyshev's theorem for a normal distribution. For 2 standard deviations (sd) from the mean, the empirical rule says 95% of the data are within that, and Chebyshev's theorem says 1 - 1/2^2 = 1 - 1/4 = 3/4 or 75% of the data are within that. From the standard normal distribution chart, the answer for 2 sd from the mean is 95.44% So, as you can see the empirical rule is more accurate.
Why is central limit theorem important?
The central limit theorem is one of two fundamental theories of probability. It's very important because its the reason a great number of statistical procedures work. The theorem states the distribution of an average has the tendency to be normal, even when it turns out that the distribution from which the average is calculated is definitely non-normal.
Why you prefer Normal Distribution over the other distributions in Statistics?
For theoretical reasons (such as the central limit theorem), any variable that is the sum of a large number of independent factors is likely to be normally distributed. For this reason, the normal distribution is used throughout statistics, natural science, and social science as a simple model for complex phenomena.
Why do univariate distributions matter in terms of social science and statistics why should we graph univariate distribution before we numerically summarize them?
Not all univariate data will be normally distributed. Graphing the data will help you determine if you got the kind of distribution you were expecting, and if not, what kinds of tests will be appropriate for what you got. A strange distribution when you had reason to expect, say, a normal distribution would help you uncover possible problems with data collection.
What is the global population distribution?
Global population distribution is where people areAnd how many people are in one area and for what reason
What is the reason for pumps in parallel in water distribution?
what is optimum point
Give the reasons for the uneven distribution of population in Pakistan?
There are many factors for uneven distribution of population in Pakistan. One reason is that the wealth distribution is uneven and many are living in poverty.
One reason for the pattern of religious distribution in Europe is?
all of the above
What is a reason for unequal distribution of resources?
Trade networks develop to exchange resources.
What is the purpose of a stem and leaf plot?
to simply organise your numbers.ajm If you can make a histogram, a dotplot, or even a boxplot; there is no reason to do a steam and leaf plot. It's the worst graph. With a stem and leaf graph, you can see the distribution of data points, and determine whether it's normal distribution or not. As mentioned above, there are better graphs for doing that, though.
Can a co-executor delay distribution of funds indefinitely?
No. They are required by law to settle an estate with expediency. If the executor, or co-executor, is delaying the distribution for no apparent reason they should be reported to the court. They can be replaced.No. They are required by law to settle an estate with expediency. If the executor, or co-executor, is delaying the distribution for no apparent reason they should be reported to the court. They can be replaced.No. They are required by law to settle an estate with expediency. If the executor, or co-executor, is delaying the distribution for no apparent reason they should be reported to the court. They can be replaced.No. They are required by law to settle an estate with expediency. If the executor, or co-executor, is delaying the distribution for no apparent reason they should be reported to the court. They can be replaced.
