A library has 45 computers, which must be reserved in advance. The library assumes that people will decide independently whether or not to show up for their reserved time. It also estimates that for each person, there is an 70% chance that they will show up for their reserved time. a) If the library takes 50 reservations for each time period, what is the expected number of people who will show up? Is it possible that all 50 show up? b) How many reservations should the library take so that 45 are expected to show? Is it possible that if the library takes this many reservations, more than 45 people show up? c) Suppose the library takes 50 reservations. Based on the simulation, estimate the probability that more Han 45 will show up? Should the library take fewer than 50 reservations is it reasonable to take more?
A library has 45 computers, which must be reserved in advance. The library assumes that people will decide independently whether or not to show up for their reserved time. It also estimates that for each person, there is an 70% chance that they will show up for their reserved time. a) If the library takes 50 reservations for each time period, what is the expected number of people who will show up? Is it possible that all 50 show up? b) How many reservations should the library take so that 45 are expected to show? Is it possible that if the library takes this many reservations, more than 45 people show up? c) Suppose the library takes 50 reservations. Based on the simulation, estimate the probability that more Han 45 will show up? Should the library take fewer than 50 reservations is it reasonable to take more?
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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A library has 45 computers, which must be reserved in advance. The library assumes that people will decide independently whether or not to show up for their reserved time. It also estimates that for each person, there is an 70% chance that they will show up for their reserved time.
a) If the library takes 50 reservations for each time period, what is the expected number of people who will show up? Is it possible that all 50 show up?
b) How many reservations should the library take so that 45 are expected to show? Is it possible that if the library takes this many reservations, more than 45 people show up?
c) Suppose the library takes 50 reservations. Based on the simulation, estimate the probability that more Han 45 will show up? Should the library take fewer than 50 reservations is it reasonable to take more?
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