statistics example

Estimation (point estimators and confidence intervals): Estimating population parameters and margins of error Properties of point estimators, including unbiasedness and variability Logic of confidence intervals, meaning of confidence level and confidence intervals, and properties of conf..

Probability: Interpreting probability, including long-run relative frequency interpretation 'Law of Large Numbers' concept Addition rule, multiplication rule, conditional probability, and independence Discrete random variables and their probability distributions, including binomial and ..

Overview of methods of data collection: Census Sample survey Experiment Observational study Planning and conducting surveys: Characteristics of a well-designed and well-conducted survey Populations, samples, and random selection Sources of bias in sampling and surveys Samp..

Module One: Exploring Data - Constructing and interpreting graphical displays of distributions of univariate data: Dotplot, stemplot, histogram, cumulative frequency plot Center and spread Clusters and gaps Outliners and other unusual features Shape Summarizing distributions of univariate data: Mea..

Consider the experiment of throwing a die. 2) Compound Event: If an event has more than one sample points, the event is called a compound event . In the above example, of throwing a die, {1, 4} is a compound event. 3) Null Event ( f ): As null set is a subset of S, it is also an ev..

Find the optimal solution in the above problem of decorative item dealer whose objective function is Z = 50x + 18y. In the graph, the corners of the feasible region are O (0, 0), A (0, 80), B(20, 60), C(50, 0) At (0, 0) Z = 0 At (0, 80) Z = 50 (0) + 18(80) = Rs. 1440 At (20, 60), Z = 50 (20) +18 ..

Show graphically that the model Maximise Z = -5y Subject to y 0 has no feasible solutio..

From a class of 32 students, 4 are to be chosen for a competition. In how many ways can this be don..

1. 2 and 3 are two digits and with these digits, the numbers 32 and 23 are formed. Although both numbers viz., 32 and 23 consist of the digits 2 and 3, the order of digits is different. Each of the above arrangements is called a 'permutation'. Thus, the number of arrangements or permutations of tw..

A bag contains 5 white and 8 black balls, 2 balls are drawn at random. Find a) The probability of getting both the balls white, when the first ball drawn, is replaced. b) The probability of getting both the balls white, when the first ball is not replace..