71
d.
On average, how many dice would you expect to show a “1”?
e.
Find the probability that all six dice show a “1.”
f.
Is it more likely that 3 or that 4 dice will show a “1”? Use numbers to justify your answer
numerically.
Exercise 4.8
According
to
a
2003
publication
by
Waits
and
Lewis
(source:
http://nces.ed.gov/pubs2003/2003017.pdf
3
),
by the end of 2002, 92% of U.S. public two
year colleges offered distance learning courses.
Suppose you randomly pick 13 U.S. public
twoyear colleges. We are interested in the number that offer distance learning courses.
d.
On average, how many schools would you expect to offer such courses?
e.
Find the probability that at most 6 offer such courses.
f.
Is it more likely that 0 or that 13 will offer such courses?
Use numbers to justify your
answer numerically and answer in a complete sentence.
Exercise 4.9
(Solution on p. 82.)
A school newspaper reporter decides to randomly survey 12 students to see if they will attend Tet
festivities this year. Based on past years, she knows that 18% of students attend Tet festivities. We
are interested in the number of students who will attend the festivities.
d.
How many of the 12 students do we expect to attend the festivities?
e.
Find the probability that at most 4 students will attend.
f.
Find the probability that more than 2 students will attend.
Exercise 4.10
Suppose that about 85% of graduating students attend their graduation. A group of 22 graduating
students is randomly chosen.
d.
How many are expected to attend their graduation?
e.
Find the probability that 17 or 18 attend.
f.
Based on numerical values, would you be surprised if all 22 attended graduation? Justify
your answer numerically.
Exercise 4.11
(Solution on p. 82.)
At The Fencing Center, 60% of the fencers use the foil as their main weapon. We randomly survey
25 fencers at The Fencing Center. We are interested in the numbers that do
not
use the foil as their
main weapon.
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 Fall '08
 Ripol
 Statistics, Probability, Randomness, Dice, Fortune cookie

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