Question

. Describe an example of when it might be appropriate to use a binomial experiment in the real world.

Answer 1

Binomial distribution is used when a number of trials are conducted and each trial can only have 2 possible outcomes: success or failure. The success event is predetermined and same for each trial. There is a probability associated with the success and remains same for each trial.

Eg Consider a coin and is tossed 'n' times. The 2 possible outcomes are heads and tails for every trials.

Let us assume that the coin is biased and getting a head had probability of 0.6.

Let X be the event that we get heads and there are 6 trials

P (heads) = 0.6

Where q is the probability of failure = 1 - p

If we need to find the the probability of getting 2 heads exactly.

Similarly we can find for other number of successes as well.