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Binomial Distribution Explorer


Modify Parameters and See Results

Number of successes in n independent trials

Parameters

Number of Trials (n)
10

The total number of independent trials or experiments

Success Probability (p)
0.50

The probability of success on each individual trial

Failure Probability (q = 1-p)
0.50

The probability of failure on each trial (complement of p)

Statistics

Expected Value
5.0000
Variance
2.5000
Std Deviation
1.5811
Mode
5

Probability Calculator

Key Properties

Real-World Applications

  • Number of heads in 10 coin flips
  • Number of defective items in a batch of products
  • Number of students passing an exam (with fixed pass rate)
  • Number of successful free throws in basketball
  • Survey responses with yes/no questions







Understanding the Distribution


Key Parameters


Applications