MAT 2379 Lecture Notes - Lecture 1: Bayes Estimator, Emerald Ash Borer, Toledo Zoo

• School: University of Ottawa
• Department: Mathematics
• Course: MAT 2379
• Professor: Maryam Sohrabi

Document Summary

A formula sheet and some statistical tables are included with the exam. Record your answer to each question in the table below. Note: at the end of the examination, hand in only this page. 1: let x be a discrete random variable with values 0, 1, 2, 3, 4. The cumula- tive distribution function of x is given by the table below: x. Solution: first, we nd the table of the probability mass function of x: x. The answer is e: a new screening test is proposed for tuberculosis. To test its e ectiveness, the screening test is applied to 200 tuberculosis patients and to 200 persons selected randomly from the community (called controls ), who do not have tuberculosis. What is the sensitivity of this test: 0. 90. Solution: 0. 80, 0. 82, 0. 89, 0. 10 sensitivity = p (test + |true+) = Note that the incorrect answers b, c, d give the speci-