# What is the important law of binomial distribution?

1 - 2 answers

2 - probabilty of success remains constant

3 - outcomes of trials are independent

4 - random variable of interest is the number of successes in a fixed number of of trials

### Why is binomial distribution important?

Binomial distribution is the basis for the binomial test of statistical significance. It is frequently used to model the number of successes in a sequence of yes or no experiments.

### What are mean and variance of negative binomial distribution by conclusion?

what is meant by a negative binomial distribution what is meant by a negative binomial distribution

### What are uses of binomial distribution in psychology?

what are the uses of binomial distribution

### What is difference between skew binomial and symmetric binomial distribution?

The skew binomial distribution arises when the probability of a particular event is not a half.

### 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.

### 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.

### What is the relationship between the binomial expansion and binomial distribution?

First i will explain the binomial expansion

### What is the difference between poisson and binomial distribution?

Poisson and Binomial both the distribution are used for defining discrete events.You can tell that Poisson distribution is a subset of Binomial distribution. Binomial is the most preliminary distribution to encounter probability and statistical problems. On the other hand when any event occurs with a fixed time interval and having a fixed average rate then it is Poisson distribution.

### What is the shape of the binomial probability distribution in rolling a die?

The distribution depends on what the variable is. If the key outcome is the number on the top of the die, the distribution in multinomial (6-valued), not binomial. If the key outcome is the number of primes, composite or neither, the distribution is trinomial. If the key outcome is the number of sixes, the distribution is binomial with unequal probabilities of success and failure. If the key outcome is odd or even the distribution is… Read More

### 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 a binomial distribution?

The binomial distribution is one in which you have repeated trials of an experiment in which the outcomes of the experiment are independent, the probability of the outcome is constant. If there are n trials and the probability of "success" in each trail is p, then the probability of exactly r successes is (nCr)*p^r*(1-p)^(n-r) : <that would have been so much simpler if this crap browser allowed superscripts!> where nCr = n!/[r!*(n-r)!] and n! =… Read More

### Is the binomial distribution is a continuous distribution?

No it is a "discrete" distribution because the outcomes can only be integers.

### What is normal binomial distribution?

There is no such thing. The Normal (or Gaussian) and Binomial are two distributions.

### How can you approximate a binomial distribution to a poison distribution when the number of binomial trials became large enough?

The Poisson distribution with parameter np will be a good approximation for the binomial distribution with parameters n and p when n is large and p is small. For more details See related link below

### The mean of a binomial probability distribution can be determined by multiplying?

The mean of a binomial probability distribution can be determined by multiplying the sample size times the probability of success.

### What is the single parameter in the binomial distribution and what sample statistic would be used to estimate it?

The binomial distribution is defined by two parameters so there is not THE SINGLE parameter.

### Consider a binomial distribution with 10 trials What is the expected value of this distribution if the probability of success on a single trial is 0.5?

Consider a binomial distribution with 10 trials What is the expected value of this distribution if the probability of success on a single trial is 0.5?

### How many experimental outcomes are possible for the binomial and the Poisson distributions?

The binomial distribution is a discrete probability distribution. The number of possible outcomes depends on the number of possible successes in a given trial. For the Poisson distribution there are Infinitely many.

### What is the parameters that determine a Binomial Distribution?

The binomial distribution has two parameter, denoted by n and p. n is the number of trials. p is the constant probability of "success" at each trial.

### What has the author Sol Weintraub written?

Sol Weintraub has written: 'Tables of the cumulative binomial probability distribution for small values of p' -- subject(s): Binomial distribution, Tables

### 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.

### What is binomial nomenclature and why is it important to taxonomy?

why is binomial nominclature important to taxonomy

### How do you differentiate a Poisson distribution and a binomial one in a level qns?

The Poisson distribution is characterised by a rate (over time or space) of an event occurring. In a binomial distribution the probability is that of a single event (outcome) occurring in a repeated set of trials.

### 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.

### List of common symmetric distributions?

A small partial list includes: -normal (or Gaussian) distribution -binomial distribution -Cauchy distribution

### 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.

### Comparision between binomial plus normal plus hypergeometric distribution?

The binomial distribution is a discrete probability distribution which describes the number of successes in a sequence of draws from a finite population, with replacement. The hypergeometric distribution is similar except that it deals with draws without replacement. For sufficiently large populations the Normal distribution is a good approximation for both.

### The variance for the binomial probability distribution is?

n(p)(1-p) n times p times one minus p, where n is the number of outcomes in the binomial distribution, and p is the probability of a success.

### Is the binominal probability discrete or continuous?

The binomial probability distribution is discrete.

### What must you know to develop binomial probability distribution?

is median a chafractoristic of population

### Why the normal distribution can be used as an approximation to the binomial distribution?

The central limit theorem basically states that for any distribution, the distribution of the sample means approaches a normal distribution as the sample size gets larger and larger. This allows us to use the normal distribution as an approximation to binomial, as long as the number of trials times the probability of success is greater than or equal to 5 and if you use the normal distribution as an approximation, you apply the continuity correction… Read More

### What are the conditions under which you can expect to be able to use a binomial distribution to model a probability distribution?

Two independent outcomes with constant probabilities.

### Can you use the normal distribution to approximate the binomial distribution. Give reason?

Yes, and the justification comes from the Central Limit Theorem.

### 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.

### Can the binomial distribution be normalized?

No. I am using "normalization" as used in probability theory as application of a normalizing constant to a value, to make it conform to a certain distribution.

### The binomial distribution is characterized by situations that are analogous to?

Rolling a six with a die or not rolling a six.

### What does the expected value of a binomial distribution with n trials tell you?

average number of successes

### A binomial probability distribution with 5 as the probability of a success will have a distribution with a shape best described by?

Nothing since it is impossible. No event can have 5 as the probability of success.

### Why does a binomial distribution become more skewed as n increases?

As n increases, the distribution becomes more normal per the central limit theorem.

### Name of the very famous distribution that describes the frequency of the number of times a number comes up in a series of dice rolls?

The binomial distribution which, for large numbers of rolls can be approximated by the Gaussian distribution.

### What distribution would be most appropriate Which distribution would be most appropriate if one wif one wanted to find the probability of selecting three Republicans from a sample of 15 politicians?

The binomial distribution.

### A random variable and a probability distribution?

The number of 6s in 37 rolls of a loaded die and binomial.

### Does the probability of failure vary from trial to trial under binomial distribution?

No. It must remain the same.

### What is the number of trials in a binomial distribution that has a mean of 8 and a standard deviation of 2?

There are 16 trials.

### Is a binomial distribution symmetric?

No, in general is not. It is only symmetric if the probability of success in each trial is 0.5

### Can the chi-square test be used for how well a binomial fits?

Yes, the chi-square test can be used to test how well a binomial fits, provided the observations are independent of one another and all from the same (or identical) binomial distribution.

### How do you use binomial probability to assess if an outbreak of an illness has occurred or not?

If the illness is infectious then you cannot use the binomial distribution because the incidences of illness are no longer independent events, so that the assumptions required for the binomial distribution are not satisfied. Suppose the illness is not infectious and the "normal" rate of illnesses is p. Then in a group of size n, the number of units suffering has a B(n, p) distribution. You can then determine a critical region at an appropriate… Read More