Balochistan University of Engineering & Technology, Khuzdar
MS-509

# Probability & Statistics/ Math IV

 Specific Objectives of course: To learn techniques of probability and statistical analysis of the data. Course Outline:Presentation of Data: Classification, tabulation, classes, graphical representation, histograms, frequency polygons, frequency curves and their types.Measures of Central Tendency: Means: Arithmetic Mean(A.M), Geometric Mean (G.M) , Harmonic Mean (H.M), and their properties, Weighted mean, median, quartiles, mode and their relations, Merits and demerits of Averages.Measures of Dispersion: Range, moments, skewness, quartile deviation, mean deviation, standard deviation, variance and its coefficients, kurtosis. Curve Fitting: Goodness of fit, Fitting a straight line, parabola, circle. Simple Regression: Scatter diagram, linear regression and correlation Probability: Definitions, sample space, events. Laws of probability, conditionalprobability, Dependent and independent events Random Variable: Introduction, distribution function, discrete random variable and its probability distribution, Continuous random variable and its probability density function, Mathematical expectation of a random variable, Moment generating functions. Probability Distribution: Binomial, Poisson, uniform, exponential and normal distribution functions and its approximation to Poisson distribution. Recommended Books: 1.   Statistical methods for engineers by McCuen, Richard Prentice Hall2.   Basic Statistics for Business & Economics by Doughlas A Lind, Irwin Publishers