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What conditions can the normal cube be used to approximate the binomial distribution?
Wiki User
∙ 10y ago
You need to define one single variable, based on the six possible outcomes, such that the outcome of each trial is either a success or not.
Thus you could define X as "roll a 5" so that the probability of success is 1/6,
Or that X is "roll an even number", so the probability of success is 1/2 , or some other event.
The die need not be fair, but if it is loaded, the loading must not change. This can allow you to increase the range of probabilities of "success".
You then need to roll the die many times and record whether or not your chosen event occurred or not. The number of times the event occurred divided by the number of rolls will approximate a binomial distribution.
Wiki User
∙ 10y ago
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For the normal distribution does it always require a continuity correction?
Use the continuity correction when using the normal distribution to approximate a binomial distribution to take into account the binomial is a discrete distribution and the normal distribution is continuous.
What is normal binomial distribution?
There is no such thing. The Normal (or Gaussian) and Binomial are two distributions.
Derive normal distribution as a limiting case of binomial distribution?
ref veeru
When can a binomial situation be approxiamted with a normal distribution?
The binomial distribution can be approximated with a normal distribution when np > 5 and np(1-p) > 5 where p is the proportion (probability) of success of an event and n is the total number of independent trials.
What conditions must be met in order to use the normal distribution to approximate the binomial distribution?
The condition is that the number of trials, n, is "sufficiently" large. There is no specific value for n. If p, the probability of success at each individual trial is close to 0.5 then n > 25 is good enough. If p is either very close to 0 or 1, then n needs to be larger.
Can normal distribution be used if the data is not normal?
You can use a normal distribution to approximate a binomial distribution if conditions are met such as n*p and n*q is > or = to 5 & n >30.
Why is it necessary to use a continuity correction when using a normal distribution to approximate a binomial distribution?
It is necessary to use a continuity correction when using a normal distribution to approximate a binomial distribution because the normal distribution contains real observations, while the binomial distribution contains integer observations.
For the normal distribution does it always require a continuity correction?
Use the continuity correction when using the normal distribution to approximate a binomial distribution to take into account the binomial is a discrete distribution and the normal distribution is continuous.
Can you use the normal distribution to approximate the binomial distribution. Give reason?
Yes, and the justification comes from the Central Limit Theorem.
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.
What is normal binomial distribution?
There is no such thing. The Normal (or Gaussian) and Binomial are two distributions.
Derive normal distribution as a limiting case of binomial distribution?
ref veeru
How the symmetric distribution is always normal?
The statement is false. The binomial distribution (discrete) or uniform distribution (discrete or continuous) are symmetrical but they are not normal. There are others.
When can a binomial situation be approxiamted with a normal distribution?
The binomial distribution can be approximated with a normal distribution when np > 5 and np(1-p) > 5 where p is the proportion (probability) of success of an event and n is the total number of independent trials.
Are all symmetric distribution are normal?
No. The binomial distribution (discrete) or uniform distribution (discrete or continuous) are symmetrical but they are not normal. There are others.
Can normal distribution be applied on discrete data?
Yes. The normal distribution is used to approximate a binomial distribution when the sample size (n) times the probability of success (p), and the probability of failure (q) are both greater than or equal to 5. The mean of the normal approximation is n*p and the standard deviation is the square root of n*p*q.
List of common symmetric distributions?
A small partial list includes: -normal (or Gaussian) distribution -binomial distribution -Cauchy distribution
