Familiarise students with continuous variables required in Statistics A Level in this unit. The chapters cover: continuous random variables, the Normal probability model, approximating distributions, and the Central Limit Theorem.
11 CONTINUOUS RANDOM VARIABLES
Modelling continuous random variables; Probability density function; Planning an approach; Distribution function
Median and mode; Expected value; Variance; Rectangular distribution; Triangular distribution; Modelling the exponential distribution
14 THE NORMAL PROBABILITY MODEL
The normal probability density function; Comparing data and model; Normal probability paper; Calculating normal probabilities; Tables of the distribution function of N(O,l)
Tables of percentage points of N(O,l); Linear combination of normal variates; Testing the fit of a normal model
15 APPROXIMATING DISTRIBUTIONS
Poisson approximation to binomial; Rare events
Normal approximate to Poisson; Continuity correction
Normal approximation to the binomial; Other distributions
16 THE CENTRAL LIMIT THEOREM
Means of samples for a normal distribution; Standard error
Distribution of sample mean the central limit theorem
Confidence intervals; Large samples; Sample size estimation
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