A small airline runs commuter flights with a planethat holds 10 people. Each ticket-holder has a 10%chance of not showing up, so the airline sells 12tickets for each flight. Which is an appropriate planfor a simulation that uses a table of random digits toestimate the probability that exactly ten people showup for the flight?a) Let digit pairs 01–12 represent the 12 tickets. In thetable, select pairs of digits, ignoring repeats and pairsthat do not represent a ticket. Continue until you get10 seats filled. Record the number of pairs needed toget 10 seats filled.b) Let digit pairs 01–12 represent the 12 tickets. In thetable, select pairs of digits until you find10 pairs thatrepresent tickets and record the proportion of trialsthat required ten or fewer.c) Let digit pairs 01–12 represent a seat that wasfilled, and other pairs represent a seat that was not filled. In the table, select 10 pairs of digits, ignor-ing repeats, and record the number of seats that were filled.d) Let digit 0 represent a seat that was filled, and1–9 a seat that was not filled. In the table, select10 digits and record the number of seats thatwere filled.e) Let digit 0 represent a ticket-holder that doesn’tshow up, and 1–9 a ticket-holder who shows up.Select 12 digits and record the number of passengerswho show up.

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter2: The Integers

Section2.7: Introduction To Coding Theory (optional)

Problem 7E

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A small airline runs commuter flights with a plane
that holds 10 people. Each ticket-holder has a 10%
chance of not showing up, so the airline sells 12
tickets for each flight. Which is an appropriate plan
for a simulation that uses a table of random digits to
estimate the probability that exactly ten people show
up for the flight?
a) Let digit pairs 01–12 represent the 12 tickets. In the
table, select pairs of digits, ignoring repeats and pairs
that do not represent a ticket. Continue until you get
10 seats filled. Record the number of pairs needed to
get 10 seats filled.
b) Let digit pairs 01–12 represent the 12 tickets. In the
table, select pairs of digits until you find10 pairs that
represent tickets and record the proportion of trials
that required ten or fewer.
c) Let digit pairs 01–12 represent a seat that was
filled, and other pairs represent a seat that was not

filled. In the table, select 10 pairs of digits, ignor-
ing repeats, and record the number of seats that

were filled.
d) Let digit 0 represent a seat that was filled, and
1–9 a seat that was not filled. In the table, select
10 digits and record the number of seats that
were filled.e) Let digit 0 represent a ticket-holder that doesn’t
show up, and 1–9 a ticket-holder who shows up.
Select 12 digits and record the number of passengers
who show up.

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