Engineering Statistics
- Random experiment-Sample space-Counting sample space- Permutation and Combinations
- Probability-Some probability laws-Conditional probability-Bays rule
- Random variables-Discrete probability distributions-Continuous probability distribution-Cumulative distribution functions
- Mathematical expectations-Law of expectations- Special Mathematical expectations-Properties of Variance-Chebyshevs theorem-Moment generating functions and applications
- Some discrete probability distributions , Uniform , Bernoli, Binomial , Hypergeometric , Negative binomial , Possion
- Some continuous probability distributions- Uniform , Gamma , Chi-square , Normal- t -distribution , Fisher
- - Estimation theory-Point and interval estimations-Estimation of Mean, Variance , Proportion , Differences of means , Ratio of variances
- Tests of hypotheses- Type I and type II Errors-One Tailed and Two tailed tests- Test of the Mean , Variance , Proportion , Ratio of variance , Difference of the means