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Why normal distribution used in solving probability problems?
Wiki User
โ 12y ago
Because of the Central Limit Theorem, the mean value of sets of observations is distributed Normally. Irrespective of the underlying distribution of a variable, the distribution of a sum (or mean) of such variables tends towards the Normal distribution. So, for sufficiently large samples, all distributions can be approximated by thye Normal distribution.
One of the consequences is that the distribution has been studied extensively and a lot is known about tests based on it.
Wiki User
โ 12y ago
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Is normal distribution a discrete probability?
No. Normal distribution is a continuous probability.
Is normal distribution also a probability distribution?
Yes. When we refer to the normal distribution, we are referring to a probability distribution. When we specify the equation of a continuous distribution, such as the normal distribution, we refer to the equation as a probability density function.
Does a normal probability distribution include a bimodal distribution?
No, the normal distribution is strictly unimodal.
What is Normal of probability distribution?
with mean and standard deviation . Once standardized, , the test statistic follows Standard Normal Probability Distribution.
What is The normal probability distribution with ยต equals 0 and ฯ equals 1?
It is the Standard Normal distribution.
Is normal distribution a discrete probability?
No. Normal distribution is a continuous probability.
Is normal distribution also a probability distribution?
Yes. When we refer to the normal distribution, we are referring to a probability distribution. When we specify the equation of a continuous distribution, such as the normal distribution, we refer to the equation as a probability density function.
Why if a probability distribution curve is bell shaped why is this a normal distribution?
A bell shaped probability distribution curve is NOT necessarily a normal distribution.
When can you say the distribution is considered normal?
When its probability distribution the standard normal distribution.
Distinguish between binomial distribution and normal distribution?
Normal distribution is the continuous probability distribution defined by the probability density function. While the binomial distribution is discrete.
Does a normal probability distribution include a bimodal distribution?
No, the normal distribution is strictly unimodal.
The total area of a normal probability distribution is?
The total area of any probability distribution is 1
What are the characteristics a standard normal probability distribution?
I apologize my question should have read what are the characteristics of a standard normal probability distribution? Thank you
What is Normal of probability distribution?
with mean and standard deviation . Once standardized, , the test statistic follows Standard Normal Probability Distribution.
Is standard normal distribution a probability distribution function?
Yes.
What discrete probability distribution can be approximated by a normal dsitribution?
If X has any discrete probability distribution then the sum of a number of observations for X will be normal.
The probability density of the standardized normal distribution is?
The probability density of the standardized normal distribution is described in the related link. It is the same as a normal distribution, but substituted into the equation is mean = 0 and sigma = 1 which simplifies the formula.
