UNIT 1:
Moments – Moment generating functions
Discrete and continuous random variables
Baye‘s theorem and problems
Probability. Axioms of probability
Exponential and Normal distributions.
Probability. Axioms of probability
UNIT 2:
Introduction and Application of Two Dimensional Random Variables
Joint distributions Discrete Random variables
Joint distributions continuous Random variables
UNIT 3:
Introduction and Application of Testing of hypothesis
Large sample test based on Normal distribution for single mean
Large sample test based on Normal distribution for difference of means
t -distribution for difference of means
Chi-square distribution for population of variance
Chi-square distribution for Goodness of fit
Chi-square distribution for Independence of attributes
UNIT 4:
Introduction and Application of Design of experiments
One-way classifications - Completely Randomized Design [CRD]
One-way classifications - Completely Randomized Design [CRD]
Two-way classifications – Randomized Block Design [RBD]
2 square - factorial Design
2 square - factorial Design
UNIT 5:
Control charts for measurements
Control charts for measurements (X charts)
Control charts for measurements (R charts)
Control charts for attributes (p charts)
Control charts for attributes (c charts)
Control charts for attributes (np charts)