Properties of a Binomial Distribution:
- A fixed chance of success. (Probability p)
- Only one other outcome, failure. (Probability 1-p)
- A fixed number of trials. (n)
- The trials are independent.
P(r successes in n trials) = nCr x pr x (1-p)n-r
Example (taken from MyMaths):
Rob has a faulty alarm clock and is late for school 20% of the time.
In one school week, what is the probability that he is late on 3 days?
- Success (p) = 0.2
- Failure (1-p) = 1 - 0.2 = 0.8
- Number of…