IB Mathematics HL – Discrete Probability Distribution, Binomial Distribution
The Binomial distribution can be used in situations in which a given experiment (trial) is repeated a number of times. For the binomial model to be applied the following four criteria must be satisfied
- the trial is carried out a fixed number of times
- the outcomes of each trial can be classified into two ‘types’ conveniently named success or failure.
- the probability
of success remains constant for each trial.
- the individual trials are independent of each other.
If a discrete random variable X follows a binomial distribution (
is the number of trials and
the probability of a success, then the probability distribution function is given by the following formula:
Using GDC Casio fx-9860G SD
MAIN MENU > STAT>DIST(F5)>BINM>Bpd>
Setting Data: Variable
We find that the probability is
Hope these help!!