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

Explained

Explanation:

X= winning a lottery prize

Properties of Bernouli

a) The value of X is either 1 or 0

b) All the trials are independent i.e. the success of next trail does not in any way depend or is influenced by the previous trail or trails

The outcome of a trail can only be a win i.e. 1 or lose i.e. 0

The number of trials is the number of times the lottery is played

The number of successes for the event X is how many times we won the lottery.