Practice - Example 2 – Mean & Variance
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Practice Questions
Test your understanding with targeted questions
Calculate the mean for n=10 and p=0.2.
💡 Hint: Use the formula μ = n × p.
If n=6 and p=0.5, what is the variance?
💡 Hint: Use the formula σ² = n × p × (1 - p).
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What is the formula for the mean in a binomial distribution?
💡 Hint: Remember, mean is derived from trials and probability.
True or False: The variance is always a positive number.
💡 Hint: Reflect on what variance represents in terms of spread.
2 more questions available
Challenge Problems
Push your limits with advanced challenges
A school has 100 students attempting a multiple-choice test with 5 questions. Each answer has a 0.2 probability of being correct. Calculate the mean, variance, and standard deviation for the number of correct answers that you expect.
💡 Hint: Break down the problem into calculating mean, variance, and then derive standard deviation.
In an experiment involving 80 coin flips with a probability of heads at 0.6, calculate the expected mean, variance, and standard deviation. Discuss the significance of these measures.
💡 Hint: Use standard formulas to calculate each measure.
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