Problem Solutions for Required Homework #7
from Chapter 5, Sections 5.4 & 5.5
Required homework:
Problems 56, 57, 62, and 63 from the “Supplementary
Exercises” on page 219 to 220.
56.
What kind of problem is this?
Your choices are either binomial or Poisson.
Commuters either take more than one hour for their one way commute to
work or they don’t
One or the other, can’t be both, and no third choice.
So this is success vs. failure problem.
For all parts of this problem, the
“success” is taking more than one hour to commute to work.
(Looking at
what is asked in the questions.)
So this is a binomial problem, because either commuters spend an hour or
more to commute to work or they don’t.
For all parts of this problem, the “success” is a commuter who reports
spending more than one hour in a oneway doortodoor commute from home
to work.
Def:
Let X be the r.v. that counts the number of commuters in a sample of 20
commuters who report spending more than one hour for their oneway
commute from home to work.
Given: n = 20 for parts a and b
n = 2000 for parts c and
p= 0.05, from 2
nd
sentence of paragraph.
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 Spring '08
 SINGER
 Probability theory, PROB, Req HW

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