324 أحص - PROBABILITY AND STATISTICS FOR ENGINEERS AND SCIENTISTS

Introduction and some simple discussion related to sample space, events
Definition of sample space, counting sample points, random events, Probability rules and additive rule.
Conditional probability, multiplication rule, independent events
Total probability rule, Baye’s rule
Random variables, Discrete and continuous distributions.
Mean and variance of a random variable. Mean of linear combination of random variables
Some of the common Discrete Distributions: Uniform, Binomial, Hyper geometric, Poisson distributions
Some of the common Continuous Distributions: Uniform, Exponential, Normal distributions.
Applications of the normal distribution. Random sampling, Some important sample statistics
Sampling distribution of the mean from normal distribution with known and unknown variance, t-distribution, Statistical inference, Classical estimation, Estimation of a single population mean, Standard error of a point estimate
Estimating a confidence interval for: single population mean, the difference between two independent samples means, a single population proportion.
Estimating confidence interval for the difference between two proportions. Introducing the principles of Testing Hypothesis- The first and the second type of errors, Testing hypothesis about : Single population mean, Difference between two independent populations' means
Testing hypothesis about: Single population proportion, Difference between two populations' proportions.
Simple Linear correlation, Simple Linear Regression, Least square method for estimating and getting inference about regression coefficients.