The distribution of the number of typographical error per 100 pages of a document follows a Poisson distribution with a mean value 4. (a) What is the probability that a 300-page book will have no typos? (b) You were reading the 300-page book and found a typo on page 10. What is the expected value of the page number to see the next typo?

The distribution of the number of typographical error per 100 pages of a document follows a Poisson distribution with a mean value 4. (a) What is the probability that a 300-page book will have no typos? (b) You were reading the 300-page book and found a typo on page 10. What is the expected value of the page number to see the next typo?

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Coal is carried from a mine in West Virginia to a power plant in New York in hopper cars on a long train. The automatic hopper car loader is set to put 90 tons of coal into each car. The actual weights of coal loaded into each car are normally distributed, with mean ? = 90 tons and standard deviation ? = 1.1 ton. (a) What is the probability that one car chosen at random will have less than 89.5 tons of coal? (Round your answer to four decimal places.)(b) What is the probability that 39 cars chosen at random will have a mean load weight x of less than 89.5 tons of coal? (Round your answer to four decimal places.)
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