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3 cards from this section. Quick, good the night before a test.
Calculate the mean for n=10 and p=0.2.
Use the formula μ = n × p.
If n=6 and p=0.5, what is the variance?
Use the formula σ² = n × p × (1 - p).
What is the formula for the mean in a binomial distribution?
Remember, mean is derived from trials and probability.
True or False: The variance is always a positive number.
Reflect on what variance represents in terms of spread.
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.
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.
Use standard formulas to calculate each measure.
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