Suman Ray Pramanik
Indian Institute of Technology (IIT), Kanpur
Suman Ray Pramanik has created this Calculator and 25+ more calculators!
Akshada Kulkarni
National Institute of Information Technology (NIIT), Neemrana
Akshada Kulkarni has verified this Calculator and 25+ more calculators!

2 Other formulas that you can solve using the same Inputs

Normal distribution
Normal distribution=e^(-(Specific outcomes within trials-Mean of distribution)^2/(2*Standard Deviation of distribution^2))/(Standard Deviation of distribution*sqrt(2*pi)) GO
Poisson distribution
Poisson distribution=Mean of distribution^(Specific outcomes within trials)*e^(-Mean of distribution)/(Specific outcomes within trials!) GO

Binomial distribution Formula

Binomial distribution=Number of trials!*(Probability of success of a single trial^Specific outcomes within trials)*(Probability of failure of a single trial^(Number of trials-Specific outcomes within trials))/(Specific outcomes within trials!*(Number of trials-Specific outcomes within trials)!)
More formulas
Single Exponential Smoothing GO
Forecasting Error GO
EOQ Purchase Model with No Shortage GO
Number of Order for Purchase Models with No Shortage GO
Time Taken for Purchase Model with No Shortage GO
Total Cost for Purchase Model with No Shortage GO
EOQ Manufacturing Model with No Shortage GO
Period t1 Manufacturing with No Shortage GO
Period t2 Manufacturing with No Shortage GO
Total optimum cost for the manufacturing model GO
EOQ Purchase Model with Shortage GO
Maximum inventory purchase model GO
Maximum stock out purchase model GO
Time taken for purchase model with shortage GO
Period t1 purchase with shortage GO
Period t2 for Purchase Model with Shortage GO
Total optimum cost for the purchase model GO
EOQ Manufacturing Model with Shortage GO
Maximum inventory manufacturing model GO
Maximum stock out manufacturing model GO
Time taken for manufacturing model with the shortage GO
Period t1 manufacturing with shortage GO
Period t2 for Manufacturing Model with Shortage GO
Period t3 Manufacturing model GO
Period t4 Manufacturing model GO
Reorder Point GO
Early Finish Time GO
Late Finish Time GO
PERT expected time GO
Standard Deviation GO
Variance GO
Crashing GO
Standard normal variation GO
New number in simplex table GO
Traffic intensity GO
Expected number of customers in the system GO
Expected number of customers in the queue GO
Expected waiting time for customers in the queue GO
Expected waiting time for customers in the system GO
Non-empty queue probability GO
Probability of customers exceeding a number GO
Expected length of non-empty queue GO
Total Float GO
Free Float GO
Independent float GO
Total Float given start times GO
Total Float given finish times GO
Independent float given slack GO
Point r on a line GO
Poisson distribution GO
Normal distribution GO

What is binomial distribution?

The binomial distribution can be thought of as simply the probability of a Success or Failure outcome in an experiment or survey that is repeated multiple times. The binomial distribution is a probability distribution that summarizes the likelihood that a value will take one of two independent values under a given set of parameters or assumptions.

How to Calculate Binomial distribution?

Binomial distribution calculator uses Binomial distribution=Number of trials!*(Probability of success of a single trial^Specific outcomes within trials)*(Probability of failure of a single trial^(Number of trials-Specific outcomes within trials))/(Specific outcomes within trials!*(Number of trials-Specific outcomes within trials)!) to calculate the Binomial distribution, The binomial distribution can be thought of as simply the probability of a Success or Failure outcome in an experiment or survey that is repeated multiple times. Binomial distribution and is denoted by P symbol.

How to calculate Binomial distribution using this online calculator? To use this online calculator for Binomial distribution, enter Specific outcomes within trials (x), Probability of success of a single trial (p), Probability of failure of a single trial (q) and Number of trials (n) and hit the calculate button. Here is how the Binomial distribution calculation can be explained with given input values -> 0.3456 = 5!*(0.6^3)*(0.4^(5-3))/(3!*(5-3)!).

FAQ

What is Binomial distribution?
The binomial distribution can be thought of as simply the probability of a Success or Failure outcome in an experiment or survey that is repeated multiple times and is represented as P=n!*(p^x)*(q^(n-x))/(x!*(n-x)!) or Binomial distribution=Number of trials!*(Probability of success of a single trial^Specific outcomes within trials)*(Probability of failure of a single trial^(Number of trials-Specific outcomes within trials))/(Specific outcomes within trials!*(Number of trials-Specific outcomes within trials)!). Specific outcomes within trials are the number of times a certain outcome takes place within a given set of trials, The probability of success of a single trial is the favorable possibility of the outcome of a certain individual event, The probability of failure of a single trial is the favorable possibility of the outcome not happening for a certain individual event and The number of trials is the number of times a certain probabilistic event is tried out multiple times.
How to calculate Binomial distribution?
The binomial distribution can be thought of as simply the probability of a Success or Failure outcome in an experiment or survey that is repeated multiple times is calculated using Binomial distribution=Number of trials!*(Probability of success of a single trial^Specific outcomes within trials)*(Probability of failure of a single trial^(Number of trials-Specific outcomes within trials))/(Specific outcomes within trials!*(Number of trials-Specific outcomes within trials)!). To calculate Binomial distribution, you need Specific outcomes within trials (x), Probability of success of a single trial (p), Probability of failure of a single trial (q) and Number of trials (n). With our tool, you need to enter the respective value for Specific outcomes within trials, Probability of success of a single trial, Probability of failure of a single trial and Number of trials and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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