1. Week |
set theory and probability theory |
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2. Week |
Probability axioms, conditional probability and Bayes' theorem |
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3. Week |
Independent events, sequential experiments, and tree diagrams |
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4. Week |
Counting methods and independent trials |
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5. Week |
Random variable concept and discrete random variables |
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6. Week |
Discrete random variable families |
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7. Week |
Probability mass function and cumulative distribution function in discrete random variables |
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8. Week |
Mean, expected value, moment, variance and standard deviation in discrete random variables |
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9. Week |
Continuous random variables |
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10. Week |
Probability density function and cumulative distribution function in continuous random variables |
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11. Week |
Continuous random variable families |
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12. Week |
Mean, expected value, moment, variance and standard deviation in continuous random variables |
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13. Week |
Random variable pairs and expected value |
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14. Week |
Functions, correlation and covariance of random variable pairs |
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