Question

A binomial random variable X is defined as the number of successes achieved in the n trials of a Bernoulli process. Describe an event in your life that fits the properties of a Bernoulli process, being sure to explain how each property is met by your event. Finally, state the number of trials and the number of successes for your event. Be specific.

Answer 1

In our life an example of Bernoulli process is tossing of a coin.

1) There are 2 outcomes 1 and 0 that is success and failure.

2) If the probability of success is p and that of failure is 1-p and it remain same across each successive trial.

3) The trails are independent of each other.

Now if we repeat the process 25 times that is if we toss a coin 25 times. The experiment was performed and we get that the number of success as 14 that is if we consider the event getting head is a success. After performing the experiment we have got 14 heads when the coin was tossed 25 times.