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Binomial Distribution Quiz

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1. What is the probability of achieving exactly 4 successes in 10 trials of a binomial experiment, where the probability of success in each trial is 0.5?

2. A fair coin is flipped 8 times. What is the probability of getting exactly 3 heads?

3. In a binomial distribution with 20 trials and probability of success 0.1, what is the expected number of successes?

4. If the probability of success on a single trial in a binomial experiment is 0.4 and the number of trials is 5, what is the variance of the distribution?

5. A binomial experiment consists of 15 trials with a probability of success of 0.3 in each trial. What is the probability of getting at least one success?

6. What is the probability of getting exactly half the number of successes in 10 trials of a binomial experiment with a 0.6 success rate?

7. A multiple choice quiz has 4 questions, each with 4 options and only one correct answer. If a student guesses on all questions, what is the probability of getting all questions right?

8. In a series of 12 trials, each with a success probability of 0.25, what is the most probable number of successes?

9. For a binomial distribution with 7 trials and a 0.5 probability of success, what is the probability of achieving an odd number of successes?

10. If a binomial experiment involves 9 trials with a 0.2 success rate, what is the probability of achieving exactly 2 successes?