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Q13
Q5
Q7
Q913
Q15
CHAPTER 6
Section 6.6, pp. 353–356
Solutions to Odd Number Problems
1.
a)
Not a probability vector; the components do not add to 1.
b)
A probability vector; the components add to 1 and all lie between 0 and 1.
c)
Not a probability vector; it is not a row vector.
d)
Not a probability vector; there is a negative component.
e)
A probability vector; the components add to 1, and all lie between 0 and 1.
3.
a)
Initially, ZapShot has 67% of the market for digital cameras and Epics has
33% of the market.
b)
If the customer's initial purchase was with ZapShot, there is a 60% chance
that the customer returns to ZapShot, and a 40% chance that he/she
switches to Epics. If the customer's initial purchase was with Epics, there is
50% chance that the customer returns to Epics, and a 50% chance that
he/she switches to ZapShot.
c)
0.6
0.4
0.67
0.33
0.567
0.433
0.5
0.5
⎡⎤
=
⎡
⎢⎥
⎣⎦
⎣
⎤
⎦
After one stage, Zapshot has 56.7% of the market and Epics has 43.3% of t
the market.
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 Spring '10
 Mr.M
 Probability

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