The "Dogs of the Dow" are the stocks listed on the Dow with the highest dividend yield. The following table shows the top 10 stocks of the "Dogs of the Dow" list for2015, based on their performance the preceding year.SymbolCompanyPrice ($)YieldAT&T33.595.48%VzVerizon46.784.70%CVXChevron112.183.82%MCDMcDonald's93.703.63%PFEPfizer31.153.60%GeneralElectricGE25.273.48%MRKMerck56.793.17%CATCaterpillar91.533.06%хомExxonMobil92.452.99%коСоса-Cola42.222.89%You decide to make a small portfolio consisting of a collection of 5 of the top 10 Dogs of the Dow.(a) How many portfolios are possible?portfolios(b) How many of these portfolios contain VZ and MCD but neither KO nor XOM?portfolios(c) How many of these portfolios contain at least four stocks with yields above 3.5%?portfolios

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Description: The "Dogs of the Dow" are the stocks listed on the Dow with the highest dividend yield. The following table shows the top 10 stocks of the "Dogs of the Dow" list for2015, based on their performance the preceding year.SymbolCompanyPrice ($)YieldAT&T3

There are total 10 companies from which 5 need to be selected to make a portfolio. So the number of portfolios will be equal to the number of ways of selecting 5 companies out of 10 and that will be equal to C510 Total number of portfolios=C510=10!5!(10-5)!=10×9×8×7×6×5!5! ×5!=252If two companies KO and XOM is not included then there are 8 companies from which 5 have to be selected for portfolio. Two companies VZ and MCD should be there in portfolio always so there are only 6 companies are remaining and there are only 3 companies needed to complete the portfolio of 5. So the number of ways to select 3 out of 6 will be C36 C36=6!3!(6-3)!=6×5×4×3!3!×3!=20There are total 5 stocks which has yields more than 3.5%. So possibilities for at least 4 stocks has yield more than 3.5% are that 4 out of 5 in the portfolio has yield more than 3.5% and all of 5 in portfolio has yield more than 3.5%. So number of ways to select 4 stocks out of 5 are C45 and selecting 1 stock to complete the portfolio of 5 will be C15, so the number of ways make a portfolio of 5 with 4 stocks having yield more than 3.5% will be C45×C15. The number of ways to make a portfolio with all 5 stocks of high yield will be C55 So the total number of ways that at least 4 stocks has yield more than 3.5% will be sum of C45×C15 and C55 C45×C15+C55=5!4!(5-4)!×5!1!(5-1)!+5!5!(5-5)!=5×4!4!×1!×5×4!4!+1=5×5+1=25+1=26

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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 10 stocks of the "Dogs of the Dow" list for 2015, based on their performance the preceding year. Symbol Company Price ($) Yield T AT&T 33.59 5.48% Vz Verizon 46.78 4.70% CVX Chevron 112.18 3.82% MCD McDonald's 93.70 3.63% PFE Pfizer 31.15 3.60% General GE 25.27 3.48% Electric MRK Merck 56.79 3.17% CAT Caterpillar 91.53 3.06% хом ExxonMobil 92.45 2.99% ко Coca-Cola 42.22 2.89% You decide to make a small portfolio consisting of a collection of 5 of the top 10 Dogs of the Dow. (a) How many portfolios are possible? portfolios (b) How many of these portfolios contain Vz and MCD but neither KO nor XOM? portfolios (c) How many of these portfolios contain at least four stocks with yields above 3.5%? portfolios

The "Dogs of the Dow" are the stocks listed on the Dow with the highest dividend yield. The following table shows the top 10 stocks of the "Dogs of the Dow" list for 2015, based on their performance the preceding year. Symbol Company Price ($) Yield T AT&T 33.59 5.48% Vz Verizon 46.78 4.70% CVX Chevron 112.18 3.82% MCD McDonald's 93.70 3.63% PFE Pfizer 31.15 3.60% General GE 25.27 3.48% Electric MRK Merck 56.79 3.17% CAT Caterpillar 91.53 3.06% хом ExxonMobil 92.45 2.99% ко Coca-Cola 42.22 2.89% You decide to make a small portfolio consisting of a collection of 5 of the top 10 Dogs of the Dow. (a) How many portfolios are possible? portfolios (b) How many of these portfolios contain Vz and MCD but neither KO nor XOM? portfolios (c) How many of these portfolios contain at least four stocks with yields above 3.5%? portfolios

MATLAB: An Introduction with Applications

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Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Concept explainers

Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.

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Question

The "Dogs of the Dow" are the stocks listed on the Dow with the highest dividend yield. The following table shows the top 10 stocks of the "Dogs of the Dow" list for
2015, based on their performance the preceding year.
Symbol
Company
Price ($)
Yield
AT&T
33.59
5.48%
Vz
Verizon
46.78
4.70%
CVX
Chevron
112.18
3.82%
MCD
McDonald's
93.70
3.63%
PFE
Pfizer
31.15
3.60%
General
Electric
GE
25.27
3.48%
MRK
Merck
56.79
3.17%
CAT
Caterpillar
91.53
3.06%
хом
ExxonMobil
92.45
2.99%
ко
Соса-Cola
42.22
2.89%
You decide to make a small portfolio consisting of a collection of 5 of the top 10 Dogs of the Dow.
(a) How many portfolios are possible?
portfolios
(b) How many of these portfolios contain VZ and MCD but neither KO nor XOM?
portfolios
(c) How many of these portfolios contain at least four stocks with yields above 3.5%?
portfolios

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