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Biostatistics course Part 5 Binomial distribution. Dr. en C. Nicolás Padilla Raygoza Facultad de Enfermería y Obstetricia de Celaya Universidad de Guanajuato México. Biosketch. Medical Doctor by University Autonomous of Guadalajara.
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Biostatistics coursePart 5Binomial distribution Dr. en C. Nicolás Padilla Raygoza Facultad de Enfermería y Obstetricia de Celaya Universidad de Guanajuato México
Biosketch • Medical Doctor by University Autonomous of Guadalajara. • Pediatrician by the Mexican Council of Certification on Pediatrics. • Postgraduate Diploma on Epidemiology, London School of Hygine and Tropical Medicine, University of London. • Master Sciences with aim in Epidemiology, Atlantic International University. • Doctorate Sciences with aim in Epidemiology, Atlantic International University. • Associated Professor B, School of Nursing and Obstetrics of Celaya, university of Guanajuato. • padillawarm@gmail.com
Competencies • The reader will define what is binomial distribution. • He (she) will know how is binomial distribution.
Introduction • We know how calculate single probabilities, but now, we have to calculate more complex probabilities. • Example • 100 new born in a maternity in Celaya. • 55 were females and 45 were males. • Probability to be girl was 55/100 = 0.55 • Probability to be boy, was 45/100=0.45 • What is the probability of two males in the next three new borns in this maternity?
Introduction • Two males between three new borns can occur: • Male Male Female (MMF) • Male Female Male (MFM) • Female Male Male (FMM) • A, B and C are mutually excluded, and Probability (HHM) + Probability (HMH) + Probability (MHH)
Introduction • What is the probability that at least 1 of the next three new born be male? • The combinations: • MFF, FMF, FFM, MMF, MFM, MMF, MMM. • To calculate probability in each combination and then add them, consume time. • The possible combinations of gender in three new born are 8: MFF, FMF, FFM, MMF, MFM, MMF, MMM, FFF.
In anyone calculation of probability, we should count how many combinations of an event will produce an result; to calculate the probability of each combination and then add the probability of all combinations, because they are mutually excluded.
Binomial distribution • Describe probability of a characteristic that only can take two values.
Bibliografía • 1.- Last JM. A dictionary of epidemiology. New York, 4ª ed. Oxford University Press, 2001:173. • 2.- Kirkwood BR. Essentials of medical ststistics. Oxford, Blackwell Science, 1988: 1-4. • 3.- Altman DG. Practical statistics for medical research. Boca Ratón, Chapman & Hall/ CRC; 1991: 1-9.