MATH 132 Midterm: MATH 132 UMass Amherst Math132 Umass_Exam1_2008_Sol

14 views12 pages
31 Jan 2019
Department
Course
Professor

Document Summary

Instruction: you can use a calculator that has no connection to the internet. Books, notes, cell- phones, and computers are not allowed in the test: there are eight problems in total. Please show all your work: scratch papers and a formula sheet are provided on pages 11-14. You may tear them out for convenience: the exam is 1. 5 hours. 2: (10 pts) cars arrive at a toll both according to a poisson process with mean 120 cars per hour. Let y be the number of cars arriving at the toll during one minute, then y p oisson( ) with mean = 120/60 = 2. P (y 2) = 1 p (y < 2) = 1 p (y = 0) p (y = 1) = 1 3e 2: (10 pts) suppose that a discrete random variable y has moment-generating function m(t) = 0. 2e t + 0. 5 + 0. 3et.