Khan Academy Course , Prof. Salman Khan

Lecture 7: Introduction to Random Variables

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Lecture Details :

Introduction to random variables and probability distribution functions.
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Course Description :

Statistics: The average | Descriptive statistics,Sample vs. Population Mean,Variance of a population,Sample variance,Standard -deviation,Alternate variance formulas - Introduction to Random Variables - Probability density functions - Binomial Distribution - Expected Value: E(X) - Expected value of binomial distribution - Poisson process - Law of large numbers - Normal distribution excel exercise - Introduction to the normal distribution - normal distribution problems: Qualitative sense of normal distributions - normal distribution problems: z-score - normal distribution problems: Empirical rule - exercise: Standard normal distribution and the empirical - More empirical rule and z-score practice - Central limit theorem - Sampling distribution of the sample mean - Standard error of the mean - Sampling distribution example problem - Confidence interval - Mean and variance of Bernoulli distribution example - Bernoulli distribution mean and variance formulas - Margin of error - Confidence interval example - Small sample size confidence intervals - Hypothesis testing and p-values - One-tailed and two-tailed tests - Z-statistics vs. T-statistics - Small sample hypothesis test - T-statistic confidence interval - Large sample proportion hypothesis testing - Variance of differences of random variables - Difference of sample means distribution - Confidence interval of difference of means - Clarification of confidence interval of difference of means - Hypothesis test for difference of means - Comparing population proportions

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