Final answer:
A person who successfully completes a driver's ed course is not guaranteed to pass the OHIO license examination, but it increases their chances. A binomial problem features a fixed number of trials with two outcomes, constant success probability, and independent trials - all of which apply to this situation.
Step-by-step explanation:
No, a person who successfully completes a driver's ed course is not guaranteed to pass the OHIO license examination. However, taking a drivers ed course can significantly increase the likelihood of passing the examination by providing the necessary knowledge and skills.
To answer the specific question provided, a problem is considered to be a binomial problem if the following conditions are met:
- There is a fixed number of trials (in this case, 50 individuals taking the exam).
- Each trial has only two possible outcomes: pass or fail.
- The probability of success (passing the exam) is the same for each trial, stated as 65%.
- The trials are independent; the outcome of one trial does not affect the outcome of another.
Given these criteria, the scenario described is a binomial problem because it fits all the requirements for binomial distribution with a fixed number of independent trials, a constant probability of success, and binary outcomes. Understanding binomial problems can help in calculating the probabilities of different numbers of individuals passing the exam from the selected group.