(6) Bruce is at a cafe watching people walk past while he works. He decides to model the number of people that pass him. Over the time he is there he sees a mean of 5 people per minute. You can assume that the number of people per minute is an independent variable. (a) Why should Bruce use the Poisson distribution for the number of people he sees per minute and what is the relevant parameter? (b) Using this distribution, what is the probability that Bruce will be passed by more than 7 people in a minute? (c) What is the probability that Bruce will have a minute where no-one passes him?

(6) Bruce is at a cafe watching people walk past while he works. He decides to model the number of people that pass him. Over the time he is there he sees a mean of 5 people per minute. You can assume that the number of people per minute is an independent variable. (a) Why should Bruce use the Poisson distribution for the number of people he sees per minute and what is the relevant parameter? (b) Using this distribution, what is the probability that Bruce will be passed by more than 7 people in a minute? (c) What is the probability that Bruce will have a minute where no-one passes him?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

See similar textbooks

Similar questions

What term is used to express the likelihood of an event occurring? Are there restrictions on its values? If so, what are they? If not, explain.
A manufacturer has determined that a machine averages one faulty unit for every 500 it produces. What is the probability that an order of 300 units will have one or more faulty units?

Recommended textbooks for you

Glencoe Algebra 1, Student Edition, 9780079039897…

Algebra

ISBN:

9780079039897

Author:

Carter

Publisher:

McGraw Hill