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Excel

The Negbinomdist function in Excel is used to calculate the probability of a specific event occurring, given that it has a specific number of chances of occurring. The function takes in two inputs: the first is the probability of the event occurring, and the second is the number of chances the event has of occurring. The function then outputs the probability of the event occurring at least once, over the number of chances the event has of occurring.

The syntax for the NEGBINOMDIST function in Excel is as follows:

=NEGBINOMDIST(number_of_successes, trials, probability_of_success, cumulative)

Where:

number_of_successes is the number of successes in the given number of trials

trials is the number of trials in which the number of successes is to be found

probability_of_success is the probability of success in each trial

cumulative is a logical value that specifies whether the function should return the cumulative distribution or the probability density function

One example of how to use the NEGBINOMDIST function in Excel is to determine the probability of drawing two red balls from a jar that has six red balls and ten blue balls. In this example, the NEGBINOMDIST function would be used to calculate the probability of drawing two red balls in a row from the jar. To use the function, the user would enter the following into a cell in Excel: =NEGBINOMDIST(2,6,10). This function would then return the probability of drawing two red balls in a row, which would be 0.3125 in this example.

There are a few instances when you should not use the NEGBINOMDIST function in Excel. One instance is when you have fewer than 20 data points. Another instance is when you have an extremely skewed or bimodal distribution. In these cases, you should use the NORMDIST function.

The Excel function for the binomial distribution is BINOMDIST. This function will calculate the probability of achieving a certain number of successes in a given number of trials, using a binomial distribution. The function has the following syntax: BINOMDIST(number_of_successes, trials, cumulative). The number_of_successes is the number of successes you want to calculate the probability for, the trials is the number of trials you want to calculate the probability for, and the cumulative argument tells the function to calculate the cumulative probability.

Some similar functions to the BINOMDIST function are the NEGBINOMDIST function, the POISSONDIST function, and the NORMDIST function. The NEGBINOMDIST function will calculate the negative binomial distribution, the POISSONDIST function will calculate the Poisson distribution, and the NORMDIST function will calculate the normal distribution. These functions all have the same syntax as the BINOMDIST function, and they all calculate different types of distributions.

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