The "Dogs of the Dow" are the stocks listed on the Dow with the highest dividend yield. The following table shows the top ten stocks of the "Dogs of the Dow" list for 2015, based on their performance the preceding year. HINT [See Example 2.]

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The "Dogs of the Dow" are the stocks listed on the Dow with the highest dividend yield. The following table shows the top ten stocks of the "Dogs of the Dow" list for 2015, based on their
performance the preceding year. HINT [See Example 2.]
Symbol
T
VZ
CVX
MCD
PFE
MRK
CAT
XOM
Company
ΚΟ
AT&T
Verizon
GE General Electric
Chevron
McDonald's
Pfizer
Merck
Caterpillar
ExxonMobil
Coca-Cola
Price ($)
33.59
46.78
93.70
31.15
112.18 3.82%
25.27
56.79
91.53
92.45
Yield
42.22
5.48%
4.70%
3.63%
3.60%
3.48%
3.17%
3.06%
2.99%
2.89%
If you selected two of these stocks at random, what is the probability that both the stocks in your selection had yields of 3.5% or more?
Transcribed Image Text:Tutorial Exercise The "Dogs of the Dow" are the stocks listed on the Dow with the highest dividend yield. The following table shows the top ten stocks of the "Dogs of the Dow" list for 2015, based on their performance the preceding year. HINT [See Example 2.] Symbol T VZ CVX MCD PFE MRK CAT XOM Company ΚΟ AT&T Verizon GE General Electric Chevron McDonald's Pfizer Merck Caterpillar ExxonMobil Coca-Cola Price ($) 33.59 46.78 93.70 31.15 112.18 3.82% 25.27 56.79 91.53 92.45 Yield 42.22 5.48% 4.70% 3.63% 3.60% 3.48% 3.17% 3.06% 2.99% 2.89% If you selected two of these stocks at random, what is the probability that both the stocks in your selection had yields of 3.5% or more?
Step 1
We are given a table of the top ten stocks from 2015, along with their performance. We are asked to calculate the probability that if we select two stocks at random, both stocks will have
yields of 3.5% or more.
Since we are selecting the stocks at random, we consider each outcome to be equally likely. Recall the formula for the probability of an event E in which all outcomes are equally likely.
P(E)
=
=
n(E)
n(S)
The notation n(S) stands for the total number of outcomes in the sample space. Using combinations, we can calculate n(S) by finding the number of ways we could select two stocks from ten
without replacement.
n(S) = c(10, [
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Transcribed Image Text:Step 1 We are given a table of the top ten stocks from 2015, along with their performance. We are asked to calculate the probability that if we select two stocks at random, both stocks will have yields of 3.5% or more. Since we are selecting the stocks at random, we consider each outcome to be equally likely. Recall the formula for the probability of an event E in which all outcomes are equally likely. P(E) = = n(E) n(S) The notation n(S) stands for the total number of outcomes in the sample space. Using combinations, we can calculate n(S) by finding the number of ways we could select two stocks from ten without replacement. n(S) = c(10, [ Submit Skip (you cannot come back)
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