Elementary Statistics and Computer Application

Condition for Binomial distribution and Properties

Condition for Binomial distribution

We get the binomial distribution under the following experimentation conditions

1. The number of trial n is finite
2. The trials are independent of each other.
3. The probability of success p is constant for each trial.
4. Each trial must result in a success or failure.
5. The events are discrete events.

Properties

• If p and q are equal, the given binomial distribution will be symmetrical. If p and q are not equal, the distribution will be skewed distribution.
Mean = E(x) = np
Variance =V(x) = npq (mean>variance)