MR3140 Probability and Statistics for Air-Ocean Science

Basic probability and statistics, in the air-ocean science context with emphasis on techniques of statistical data analysis. Histograms, boxplots, empirical distributions and associated characteristics such as moments and percentiles. Structure of a probability model, density distribution function, expectation and variance. Binomial, Poisson and Gaussian distributions. Conditional probability and independence. Joint distributions, covariance and central limit theorem. Standard tests of hypotheses and confidence intervals for both one-and two-parameter situations. Regression analysis as related to least squares estimation.

Prerequisite

Calculus

Lecture Hours

3

Lab Hours

2

Course Learning Outcomes

·       Understand the basic approaches of descriptive statistics.

·       Understand the concepts of probability and probability distributions.

·       Understand the central limit theorem and its application to sample means.

·       Understand the concept of confidence intervals for the mean and variance.

·       Understand the concepts and approach of hypothesis testing for a single mean, two means, and variances.

·       Understand the approaches for goodness of fit.