Practice Key Properties (6) - Binomial Distribution - IB 10 Mathematics

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9 questions

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Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
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Quiz
3 questions · about 2 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
Calculate the mean for n = 8 and p = 0.3.
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Use the formula for mean.
Question 2.
What does the variance represent in a binomial distribution?
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Think about how outcomes can vary.
3Question 3.
What is the formula for the mean in a binomial distribution?
- n × (1-p)
- n × p
- p × (1-p)
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Think about the basic properties of expected values.
4Question 4.
True or False: Variance is the same as standard deviation.
- True
- False
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Remember the relationship between variance and standard deviation.
Question 5.
You are conducting an experiment with 12 trials where the probability of success is 0.25. Calculate the mean, variance, and standard deviation of your distribution.
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Use the formulas systematically for each calculation.
Question 6.
In a study where 50 respondents answer a true/false question with a 70% success rate, determine the expected number of 'true' answers, variance, and standard deviation.
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Break the problem down: find each part step by step using the formulas we've covered.

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