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Introduction to Probability Theory and Sampling Distributions

Lawrence Joseph1,2 and Caroline Reinhold3

1 Department of Medicine, Division of Clinical Epidemiology, Montreal General Hospital, 1650 Cedar Ave., Montreal, Quebec, H3G 1A4, Canada.
2 Department of Epidemiology and Biostatistics, McGill University, 1020 Pine Ave. W., Montreal, Quebec, H3A 1A2, Canada.
3 Department of Diagnostic Radiology, Montreal General Hospital, McGill University Health Centre, 1650 Cedar Ave., Montreal, Quebec, H3G 1A4, Canada.



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  		Fig. 1. —Graph shows binomial distribution with sample size of 10 and probability of success p = 0.7.

 


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  		Fig. 2. —Graph shows the standard normal distribution with mean µ = 0 and SD {sigma} = 1. Approximately 95% of area under curve falls within 2 SDs on either side of mean, and about 68% of area falls within 1 SD from mean.

 


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  		Fig. 3. —Chart shows the Poisson distribution with µ (mean = 10).

 

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